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Finding the Third Proportional to 466,452 and 737,442

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Solution

The third proportional to 466,452 and 737,442 is: 1,165,866.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,452 : 737,442 = 737,442 : x
  2. Step 2: Convert to fraction form
    466,452/737,442 = 737,442/x
  3. Step 3: Cross multiply
    466,452x = 737,442 × 737,442
  4. Step 4: Simplify right side
    466,452x = 543,820,703,364
  5. Step 5: Solve for x
    x = 543,820,703,364/466,452
  6. Step 6: Final answer
    x = 1,165,866.38

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.