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Finding the Third Proportional to 334,524 and 721,536

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Solution

The third proportional to 334,524 and 721,536 is: 1,556,283.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,524 : 721,536 = 721,536 : x
  2. Step 2: Convert to fraction form
    334,524/721,536 = 721,536/x
  3. Step 3: Cross multiply
    334,524x = 721,536 × 721,536
  4. Step 4: Simplify right side
    334,524x = 520,614,199,296
  5. Step 5: Solve for x
    x = 520,614,199,296/334,524
  6. Step 6: Final answer
    x = 1,556,283.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.