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Finding the Third Proportional to 334,696.43 and 723,777.40

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Solution

The third proportional to 334,696.43 and 723,777.40 is: 1,565,160.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,696.43 : 723,777.40 = 723,777.40 : x
  2. Step 2: Convert to fraction form
    334,696.43/723,777.40 = 723,777.40/x
  3. Step 3: Cross multiply
    334,696.43x = 723,777.40 × 723,777.40
  4. Step 4: Simplify right side
    334,696.43x = 523,853,722,488.96
  5. Step 5: Solve for x
    x = 523,853,722,488.96/334,696.43
  6. Step 6: Final answer
    x = 1,565,160.77

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.