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Finding the Third Proportional to 427,947 and 662,301

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Solution

The third proportional to 427,947 and 662,301 is: 1,024,992.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,947 : 662,301 = 662,301 : x
  2. Step 2: Convert to fraction form
    427,947/662,301 = 662,301/x
  3. Step 3: Cross multiply
    427,947x = 662,301 × 662,301
  4. Step 4: Simplify right side
    427,947x = 438,642,614,601
  5. Step 5: Solve for x
    x = 438,642,614,601/427,947
  6. Step 6: Final answer
    x = 1,024,992.85

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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.