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Finding the Third Proportional to 418,083.19 and 631,043.16

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Solution

The third proportional to 418,083.19 and 631,043.16 is: 952,479.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,083.19 : 631,043.16 = 631,043.16 : x
  2. Step 2: Convert to fraction form
    418,083.19/631,043.16 = 631,043.16/x
  3. Step 3: Cross multiply
    418,083.19x = 631,043.16 × 631,043.16
  4. Step 4: Simplify right side
    418,083.19x = 398,215,465,049.96
  5. Step 5: Solve for x
    x = 398,215,465,049.96/418,083.19
  6. Step 6: Final answer
    x = 952,479.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.