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Finding the Third Proportional to 329,472 and 501,312

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Solution

The third proportional to 329,472 and 501,312 is: 762,777.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,472 : 501,312 = 501,312 : x
  2. Step 2: Convert to fraction form
    329,472/501,312 = 501,312/x
  3. Step 3: Cross multiply
    329,472x = 501,312 × 501,312
  4. Step 4: Simplify right side
    329,472x = 251,313,721,344
  5. Step 5: Solve for x
    x = 251,313,721,344/329,472
  6. Step 6: Final answer
    x = 762,777.17

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.