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Finding the Third Proportional to 341,332 and 452,932

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Solution

The third proportional to 341,332 and 452,932 is: 601,020.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,332 : 452,932 = 452,932 : x
  2. Step 2: Convert to fraction form
    341,332/452,932 = 452,932/x
  3. Step 3: Cross multiply
    341,332x = 452,932 × 452,932
  4. Step 4: Simplify right side
    341,332x = 205,147,396,624
  5. Step 5: Solve for x
    x = 205,147,396,624/341,332
  6. Step 6: Final answer
    x = 601,020.11

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.