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Finding the Third Proportional to 570,501 and 797,551

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Solution

The third proportional to 570,501 and 797,551 is: 1,114,963.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,501 : 797,551 = 797,551 : x
  2. Step 2: Convert to fraction form
    570,501/797,551 = 797,551/x
  3. Step 3: Cross multiply
    570,501x = 797,551 × 797,551
  4. Step 4: Simplify right side
    570,501x = 636,087,597,601
  5. Step 5: Solve for x
    x = 636,087,597,601/570,501
  6. Step 6: Final answer
    x = 1,114,963.16

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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.