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Finding the Third Proportional to 570,359 and 797,446

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Solution

The third proportional to 570,359 and 797,446 is: 1,114,947.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,359 : 797,446 = 797,446 : x
  2. Step 2: Convert to fraction form
    570,359/797,446 = 797,446/x
  3. Step 3: Cross multiply
    570,359x = 797,446 × 797,446
  4. Step 4: Simplify right side
    570,359x = 635,920,122,916
  5. Step 5: Solve for x
    x = 635,920,122,916/570,359
  6. Step 6: Final answer
    x = 1,114,947.12

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.