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Finding the Third Proportional to 442,119.52 and 684,781.59

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Solution

The third proportional to 442,119.52 and 684,781.59 is: 1,060,631.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,119.52 : 684,781.59 = 684,781.59 : x
  2. Step 2: Convert to fraction form
    442,119.52/684,781.59 = 684,781.59/x
  3. Step 3: Cross multiply
    442,119.52x = 684,781.59 × 684,781.59
  4. Step 4: Simplify right side
    442,119.52x = 468,925,831,138.79
  5. Step 5: Solve for x
    x = 468,925,831,138.79/442,119.52
  6. Step 6: Final answer
    x = 1,060,631.38

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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.