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Finding the Third Proportional to 559,261,705.50 and 838,892,254.50

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Solution

The third proportional to 559,261,705.50 and 838,892,254.50 is: 1,258,337,926.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,261,705.50 : 838,892,254.50 = 838,892,254.50 : x
  2. Step 2: Convert to fraction form
    559,261,705.50/838,892,254.50 = 838,892,254.50/x
  3. Step 3: Cross multiply
    559,261,705.50x = 838,892,254.50 × 838,892,254.50
  4. Step 4: Simplify right side
    559,261,705.50x = 703,740,214,660,092,800
  5. Step 5: Solve for x
    x = 703,740,214,660,092,800/559,261,705.50
  6. Step 6: Final answer
    x = 1,258,337,926.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.