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Finding the Third Proportional to 402,452 and 544,628

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Solution

The third proportional to 402,452 and 544,628 is: 737,031.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,452 : 544,628 = 544,628 : x
  2. Step 2: Convert to fraction form
    402,452/544,628 = 544,628/x
  3. Step 3: Cross multiply
    402,452x = 544,628 × 544,628
  4. Step 4: Simplify right side
    402,452x = 296,619,658,384
  5. Step 5: Solve for x
    x = 296,619,658,384/402,452
  6. Step 6: Final answer
    x = 737,031.15

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.