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Finding the Third Proportional to 349,342 and 527,332

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Solution

The third proportional to 349,342 and 527,332 is: 796,008.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,342 : 527,332 = 527,332 : x
  2. Step 2: Convert to fraction form
    349,342/527,332 = 527,332/x
  3. Step 3: Cross multiply
    349,342x = 527,332 × 527,332
  4. Step 4: Simplify right side
    349,342x = 278,079,038,224
  5. Step 5: Solve for x
    x = 278,079,038,224/349,342
  6. Step 6: Final answer
    x = 796,008.03

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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.