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Finding the Third Proportional to 532,672.88 and 717,678.56

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Solution

The third proportional to 532,672.88 and 717,678.56 is: 966,939.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,672.88 : 717,678.56 = 717,678.56 : x
  2. Step 2: Convert to fraction form
    532,672.88/717,678.56 = 717,678.56/x
  3. Step 3: Cross multiply
    532,672.88x = 717,678.56 × 717,678.56
  4. Step 4: Simplify right side
    532,672.88x = 515,062,519,072.07
  5. Step 5: Solve for x
    x = 515,062,519,072.07/532,672.88
  6. Step 6: Final answer
    x = 966,939.64

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.