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Finding the Third Proportional to 570,532 and 797,598

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Solution

The third proportional to 570,532 and 797,598 is: 1,115,033.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,532 : 797,598 = 797,598 : x
  2. Step 2: Convert to fraction form
    570,532/797,598 = 797,598/x
  3. Step 3: Cross multiply
    570,532x = 797,598 × 797,598
  4. Step 4: Simplify right side
    570,532x = 636,162,569,604
  5. Step 5: Solve for x
    x = 636,162,569,604/570,532
  6. Step 6: Final answer
    x = 1,115,033.99

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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.