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Finding the Third Proportional to 463,914 and 718,320

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Solution

The third proportional to 463,914 and 718,320 is: 1,112,239.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,914 : 718,320 = 718,320 : x
  2. Step 2: Convert to fraction form
    463,914/718,320 = 718,320/x
  3. Step 3: Cross multiply
    463,914x = 718,320 × 718,320
  4. Step 4: Simplify right side
    463,914x = 515,983,622,400
  5. Step 5: Solve for x
    x = 515,983,622,400/463,914
  6. Step 6: Final answer
    x = 1,112,239.82

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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.