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Finding the Third Proportional to 463,482 and 717,275

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Solution

The third proportional to 463,482 and 717,275 is: 1,110,039.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,482 : 717,275 = 717,275 : x
  2. Step 2: Convert to fraction form
    463,482/717,275 = 717,275/x
  3. Step 3: Cross multiply
    463,482x = 717,275 × 717,275
  4. Step 4: Simplify right side
    463,482x = 514,483,425,625
  5. Step 5: Solve for x
    x = 514,483,425,625/463,482
  6. Step 6: Final answer
    x = 1,110,039.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.