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Finding the Third Proportional to 400,156.88 and 610,398

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Solution

The third proportional to 400,156.88 and 610,398 is: 931,099.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,156.88 : 610,398 = 610,398 : x
  2. Step 2: Convert to fraction form
    400,156.88/610,398 = 610,398/x
  3. Step 3: Cross multiply
    400,156.88x = 610,398 × 610,398
  4. Step 4: Simplify right side
    400,156.88x = 372,585,718,404
  5. Step 5: Solve for x
    x = 372,585,718,404/400,156.88
  6. Step 6: Final answer
    x = 931,099.13

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.