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Finding the Third Proportional to 499,724 and 790,607

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Solution

The third proportional to 499,724 and 790,607 is: 1,250,809.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,724 : 790,607 = 790,607 : x
  2. Step 2: Convert to fraction form
    499,724/790,607 = 790,607/x
  3. Step 3: Cross multiply
    499,724x = 790,607 × 790,607
  4. Step 4: Simplify right side
    499,724x = 625,059,428,449
  5. Step 5: Solve for x
    x = 625,059,428,449/499,724
  6. Step 6: Final answer
    x = 1,250,809.30

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.