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Finding the Third Proportional to 559,272.50 and 838,969

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Solution

The third proportional to 559,272.50 and 838,969 is: 1,258,543.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,272.50 : 838,969 = 838,969 : x
  2. Step 2: Convert to fraction form
    559,272.50/838,969 = 838,969/x
  3. Step 3: Cross multiply
    559,272.50x = 838,969 × 838,969
  4. Step 4: Simplify right side
    559,272.50x = 703,868,982,961
  5. Step 5: Solve for x
    x = 703,868,982,961/559,272.50
  6. Step 6: Final answer
    x = 1,258,543.88

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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.