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Finding the Third Proportional to 272,332 and 598,421

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Solution

The third proportional to 272,332 and 598,421 is: 1,314,967.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,332 : 598,421 = 598,421 : x
  2. Step 2: Convert to fraction form
    272,332/598,421 = 598,421/x
  3. Step 3: Cross multiply
    272,332x = 598,421 × 598,421
  4. Step 4: Simplify right side
    272,332x = 358,107,693,241
  5. Step 5: Solve for x
    x = 358,107,693,241/272,332
  6. Step 6: Final answer
    x = 1,314,967.37

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.