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Finding the Third Proportional to 535,754.25 and 729,597.38

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Solution

The third proportional to 535,754.25 and 729,597.38 is: 993,575.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,754.25 : 729,597.38 = 729,597.38 : x
  2. Step 2: Convert to fraction form
    535,754.25/729,597.38 = 729,597.38/x
  3. Step 3: Cross multiply
    535,754.25x = 729,597.38 × 729,597.38
  4. Step 4: Simplify right side
    535,754.25x = 532,312,329,606.89
  5. Step 5: Solve for x
    x = 532,312,329,606.89/535,754.25
  6. Step 6: Final answer
    x = 993,575.56

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.