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Finding the Third Proportional to 397,332.84 and 868,428.84

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Solution

The third proportional to 397,332.84 and 868,428.84 is: 1,898,077.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,332.84 : 868,428.84 = 868,428.84 : x
  2. Step 2: Convert to fraction form
    397,332.84/868,428.84 = 868,428.84/x
  3. Step 3: Cross multiply
    397,332.84x = 868,428.84 × 868,428.84
  4. Step 4: Simplify right side
    397,332.84x = 754,168,656,656.96
  5. Step 5: Solve for x
    x = 754,168,656,656.96/397,332.84
  6. Step 6: Final answer
    x = 1,898,077.82

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.