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Finding the Third Proportional to 334,802 and 522,507

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Solution

The third proportional to 334,802 and 522,507 is: 815,447.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,802 : 522,507 = 522,507 : x
  2. Step 2: Convert to fraction form
    334,802/522,507 = 522,507/x
  3. Step 3: Cross multiply
    334,802x = 522,507 × 522,507
  4. Step 4: Simplify right side
    334,802x = 273,013,565,049
  5. Step 5: Solve for x
    x = 273,013,565,049/334,802
  6. Step 6: Final answer
    x = 815,447.83

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.