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Finding the Third Proportional to 329,053.50 and 497,630.25

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Solution

The third proportional to 329,053.50 and 497,630.25 is: 752,570.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,053.50 : 497,630.25 = 497,630.25 : x
  2. Step 2: Convert to fraction form
    329,053.50/497,630.25 = 497,630.25/x
  3. Step 3: Cross multiply
    329,053.50x = 497,630.25 × 497,630.25
  4. Step 4: Simplify right side
    329,053.50x = 247,635,865,715.06
  5. Step 5: Solve for x
    x = 247,635,865,715.06/329,053.50
  6. Step 6: Final answer
    x = 752,570.22

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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.