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Finding the Third Proportional to 334,901 and 726,421

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Solution

The third proportional to 334,901 and 726,421 is: 1,575,652.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,901 : 726,421 = 726,421 : x
  2. Step 2: Convert to fraction form
    334,901/726,421 = 726,421/x
  3. Step 3: Cross multiply
    334,901x = 726,421 × 726,421
  4. Step 4: Simplify right side
    334,901x = 527,687,469,241
  5. Step 5: Solve for x
    x = 527,687,469,241/334,901
  6. Step 6: Final answer
    x = 1,575,652.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.