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Finding the Third Proportional to 602,399 and 883,474

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Solution

The third proportional to 602,399 and 883,474 is: 1,295,696.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,399 : 883,474 = 883,474 : x
  2. Step 2: Convert to fraction form
    602,399/883,474 = 883,474/x
  3. Step 3: Cross multiply
    602,399x = 883,474 × 883,474
  4. Step 4: Simplify right side
    602,399x = 780,526,308,676
  5. Step 5: Solve for x
    x = 780,526,308,676/602,399
  6. Step 6: Final answer
    x = 1,295,696.55

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.