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Finding the Third Proportional to 344,865.75 and 532,060.13

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Solution

The third proportional to 344,865.75 and 532,060.13 is: 820,864.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,865.75 : 532,060.13 = 532,060.13 : x
  2. Step 2: Convert to fraction form
    344,865.75/532,060.13 = 532,060.13/x
  3. Step 3: Cross multiply
    344,865.75x = 532,060.13 × 532,060.13
  4. Step 4: Simplify right side
    344,865.75x = 283,087,976,615.02
  5. Step 5: Solve for x
    x = 283,087,976,615.02/344,865.75
  6. Step 6: Final answer
    x = 820,864.28

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.