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Finding the Third Proportional to 535,767.75 and 729,614.25

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Solution

The third proportional to 535,767.75 and 729,614.25 is: 993,596.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,767.75 : 729,614.25 = 729,614.25 : x
  2. Step 2: Convert to fraction form
    535,767.75/729,614.25 = 729,614.25/x
  3. Step 3: Cross multiply
    535,767.75x = 729,614.25 × 729,614.25
  4. Step 4: Simplify right side
    535,767.75x = 532,336,953,803.06
  5. Step 5: Solve for x
    x = 532,336,953,803.06/535,767.75
  6. Step 6: Final answer
    x = 993,596.49

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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.