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Finding the Third Proportional to 474,624 and 734,656

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Solution

The third proportional to 474,624 and 734,656 is: 1,137,151.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,624 : 734,656 = 734,656 : x
  2. Step 2: Convert to fraction form
    474,624/734,656 = 734,656/x
  3. Step 3: Cross multiply
    474,624x = 734,656 × 734,656
  4. Step 4: Simplify right side
    474,624x = 539,719,438,336
  5. Step 5: Solve for x
    x = 539,719,438,336/474,624
  6. Step 6: Final answer
    x = 1,137,151.59

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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.