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Finding the Third Proportional to 418,084.88 and 631,045.69

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Solution

The third proportional to 418,084.88 and 631,045.69 is: 952,482.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,084.88 : 631,045.69 = 631,045.69 : x
  2. Step 2: Convert to fraction form
    418,084.88/631,045.69 = 631,045.69/x
  3. Step 3: Cross multiply
    418,084.88x = 631,045.69 × 631,045.69
  4. Step 4: Simplify right side
    418,084.88x = 398,218,659,712.35
  5. Step 5: Solve for x
    x = 398,218,659,712.35/418,084.88
  6. Step 6: Final answer
    x = 952,482.82

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