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Finding the Third Proportional to 341,511 and 748,359

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Solution

The third proportional to 341,511 and 748,359 is: 1,639,892.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,511 : 748,359 = 748,359 : x
  2. Step 2: Convert to fraction form
    341,511/748,359 = 748,359/x
  3. Step 3: Cross multiply
    341,511x = 748,359 × 748,359
  4. Step 4: Simplify right side
    341,511x = 560,041,192,881
  5. Step 5: Solve for x
    x = 560,041,192,881/341,511
  6. Step 6: Final answer
    x = 1,639,892.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.