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Finding the Third Proportional to 502,972.88 and 760,960.13

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Solution

The third proportional to 502,972.88 and 760,960.13 is: 1,151,275.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,972.88 : 760,960.13 = 760,960.13 : x
  2. Step 2: Convert to fraction form
    502,972.88/760,960.13 = 760,960.13/x
  3. Step 3: Cross multiply
    502,972.88x = 760,960.13 × 760,960.13
  4. Step 4: Simplify right side
    502,972.88x = 579,060,311,840.02
  5. Step 5: Solve for x
    x = 579,060,311,840.02/502,972.88
  6. Step 6: Final answer
    x = 1,151,275.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.