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Finding the Third Proportional to 408,061.13 and 633,985.31

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Solution

The third proportional to 408,061.13 and 633,985.31 is: 984,993.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,061.13 : 633,985.31 = 633,985.31 : x
  2. Step 2: Convert to fraction form
    408,061.13/633,985.31 = 633,985.31/x
  3. Step 3: Cross multiply
    408,061.13x = 633,985.31 × 633,985.31
  4. Step 4: Simplify right side
    408,061.13x = 401,937,376,465.72
  5. Step 5: Solve for x
    x = 401,937,376,465.72/408,061.13
  6. Step 6: Final answer
    x = 984,993.06

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.