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Finding the Third Proportional to 621,135 and 932,361

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Solution

The third proportional to 621,135 and 932,361 is: 1,399,529.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,135 : 932,361 = 932,361 : x
  2. Step 2: Convert to fraction form
    621,135/932,361 = 932,361/x
  3. Step 3: Cross multiply
    621,135x = 932,361 × 932,361
  4. Step 4: Simplify right side
    621,135x = 869,297,034,321
  5. Step 5: Solve for x
    x = 869,297,034,321/621,135
  6. Step 6: Final answer
    x = 1,399,529.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.