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Finding the Third Proportional to 522,730 and 736,134

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Solution

The third proportional to 522,730 and 736,134 is: 1,036,659.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,730 : 736,134 = 736,134 : x
  2. Step 2: Convert to fraction form
    522,730/736,134 = 736,134/x
  3. Step 3: Cross multiply
    522,730x = 736,134 × 736,134
  4. Step 4: Simplify right side
    522,730x = 541,893,265,956
  5. Step 5: Solve for x
    x = 541,893,265,956/522,730
  6. Step 6: Final answer
    x = 1,036,659.97

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.