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Finding the Third Proportional to 584,498 and 901,371

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Solution

The third proportional to 584,498 and 901,371 is: 1,390,029.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,498 : 901,371 = 901,371 : x
  2. Step 2: Convert to fraction form
    584,498/901,371 = 901,371/x
  3. Step 3: Cross multiply
    584,498x = 901,371 × 901,371
  4. Step 4: Simplify right side
    584,498x = 812,469,679,641
  5. Step 5: Solve for x
    x = 812,469,679,641/584,498
  6. Step 6: Final answer
    x = 1,390,029.87

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.