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Finding the Third Proportional to 570,568 and 797,650

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Solution

The third proportional to 570,568 and 797,650 is: 1,115,109.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,568 : 797,650 = 797,650 : x
  2. Step 2: Convert to fraction form
    570,568/797,650 = 797,650/x
  3. Step 3: Cross multiply
    570,568x = 797,650 × 797,650
  4. Step 4: Simplify right side
    570,568x = 636,245,522,500
  5. Step 5: Solve for x
    x = 636,245,522,500/570,568
  6. Step 6: Final answer
    x = 1,115,109.02

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