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Finding the Third Proportional to 532,680.19 and 717,688.69

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Solution

The third proportional to 532,680.19 and 717,688.69 is: 966,953.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,680.19 : 717,688.69 = 717,688.69 : x
  2. Step 2: Convert to fraction form
    532,680.19/717,688.69 = 717,688.69/x
  3. Step 3: Cross multiply
    532,680.19x = 717,688.69 × 717,688.69
  4. Step 4: Simplify right side
    532,680.19x = 515,077,052,165.47
  5. Step 5: Solve for x
    x = 515,077,052,165.47/532,680.19
  6. Step 6: Final answer
    x = 966,953.65

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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.