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Finding the Third Proportional to 413,730 and 632,475

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Solution

The third proportional to 413,730 and 632,475 is: 966,873.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,730 : 632,475 = 632,475 : x
  2. Step 2: Convert to fraction form
    413,730/632,475 = 632,475/x
  3. Step 3: Cross multiply
    413,730x = 632,475 × 632,475
  4. Step 4: Simplify right side
    413,730x = 400,024,625,625
  5. Step 5: Solve for x
    x = 400,024,625,625/413,730
  6. Step 6: Final answer
    x = 966,873.63

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.