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Finding the Third Proportional to 338,167.50 and 729,553.50

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Solution

The third proportional to 338,167.50 and 729,553.50 is: 1,573,919.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,167.50 : 729,553.50 = 729,553.50 : x
  2. Step 2: Convert to fraction form
    338,167.50/729,553.50 = 729,553.50/x
  3. Step 3: Cross multiply
    338,167.50x = 729,553.50 × 729,553.50
  4. Step 4: Simplify right side
    338,167.50x = 532,248,309,362.25
  5. Step 5: Solve for x
    x = 532,248,309,362.25/338,167.50
  6. Step 6: Final answer
    x = 1,573,919.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.