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Finding the Third Proportional to 341,554 and 503,491

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Solution

The third proportional to 341,554 and 503,491 is: 742,205.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,554 : 503,491 = 503,491 : x
  2. Step 2: Convert to fraction form
    341,554/503,491 = 503,491/x
  3. Step 3: Cross multiply
    341,554x = 503,491 × 503,491
  4. Step 4: Simplify right side
    341,554x = 253,503,187,081
  5. Step 5: Solve for x
    x = 253,503,187,081/341,554
  6. Step 6: Final answer
    x = 742,205.29

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.