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Finding the Third Proportional to 559,424 and 860,374

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Solution

The third proportional to 559,424 and 860,374 is: 1,323,224.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,424 : 860,374 = 860,374 : x
  2. Step 2: Convert to fraction form
    559,424/860,374 = 860,374/x
  3. Step 3: Cross multiply
    559,424x = 860,374 × 860,374
  4. Step 4: Simplify right side
    559,424x = 740,243,419,876
  5. Step 5: Solve for x
    x = 740,243,419,876/559,424
  6. Step 6: Final answer
    x = 1,323,224.28

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.