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Finding the Third Proportional to 349,332 and 527,318

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Solution

The third proportional to 349,332 and 527,318 is: 795,988.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,332 : 527,318 = 527,318 : x
  2. Step 2: Convert to fraction form
    349,332/527,318 = 527,318/x
  3. Step 3: Cross multiply
    349,332x = 527,318 × 527,318
  4. Step 4: Simplify right side
    349,332x = 278,064,273,124
  5. Step 5: Solve for x
    x = 278,064,273,124/349,332
  6. Step 6: Final answer
    x = 795,988.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.