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Finding the Third Proportional to 570,374 and 797,466

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Solution

The third proportional to 570,374 and 797,466 is: 1,114,973.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,374 : 797,466 = 797,466 : x
  2. Step 2: Convert to fraction form
    570,374/797,466 = 797,466/x
  3. Step 3: Cross multiply
    570,374x = 797,466 × 797,466
  4. Step 4: Simplify right side
    570,374x = 635,952,021,156
  5. Step 5: Solve for x
    x = 635,952,021,156/570,374
  6. Step 6: Final answer
    x = 1,114,973.72

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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.