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Finding the Third Proportional to 570,557 and 797,634

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Solution

The third proportional to 570,557 and 797,634 is: 1,115,085.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,557 : 797,634 = 797,634 : x
  2. Step 2: Convert to fraction form
    570,557/797,634 = 797,634/x
  3. Step 3: Cross multiply
    570,557x = 797,634 × 797,634
  4. Step 4: Simplify right side
    570,557x = 636,219,997,956
  5. Step 5: Solve for x
    x = 636,219,997,956/570,557
  6. Step 6: Final answer
    x = 1,115,085.78

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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.