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Finding the Third Proportional to 602,377 and 883,446

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Solution

The third proportional to 602,377 and 883,446 is: 1,295,661.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,377 : 883,446 = 883,446 : x
  2. Step 2: Convert to fraction form
    602,377/883,446 = 883,446/x
  3. Step 3: Cross multiply
    602,377x = 883,446 × 883,446
  4. Step 4: Simplify right side
    602,377x = 780,476,834,916
  5. Step 5: Solve for x
    x = 780,476,834,916/602,377
  6. Step 6: Final answer
    x = 1,295,661.74

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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.