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Finding the Third Proportional to 570,272 and 797,272

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Solution

The third proportional to 570,272 and 797,272 is: 1,114,630.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,272 : 797,272 = 797,272 : x
  2. Step 2: Convert to fraction form
    570,272/797,272 = 797,272/x
  3. Step 3: Cross multiply
    570,272x = 797,272 × 797,272
  4. Step 4: Simplify right side
    570,272x = 635,642,641,984
  5. Step 5: Solve for x
    x = 635,642,641,984/570,272
  6. Step 6: Final answer
    x = 1,114,630.64

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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.