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Finding the Third Proportional to 461,363 and 620,791

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Solution

The third proportional to 461,363 and 620,791 is: 835,310.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,363 : 620,791 = 620,791 : x
  2. Step 2: Convert to fraction form
    461,363/620,791 = 620,791/x
  3. Step 3: Cross multiply
    461,363x = 620,791 × 620,791
  4. Step 4: Simplify right side
    461,363x = 385,381,465,681
  5. Step 5: Solve for x
    x = 385,381,465,681/461,363
  6. Step 6: Final answer
    x = 835,310.73

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.