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Finding the Third Proportional to 371,931 and 763,464

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Solution

The third proportional to 371,931 and 763,464 is: 1,567,165.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,931 : 763,464 = 763,464 : x
  2. Step 2: Convert to fraction form
    371,931/763,464 = 763,464/x
  3. Step 3: Cross multiply
    371,931x = 763,464 × 763,464
  4. Step 4: Simplify right side
    371,931x = 582,877,279,296
  5. Step 5: Solve for x
    x = 582,877,279,296/371,931
  6. Step 6: Final answer
    x = 1,567,165.09

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.