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Finding the Third Proportional to 370,680 and 813,534

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Solution

The third proportional to 370,680 and 813,534 is: 1,785,468.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,680 : 813,534 = 813,534 : x
  2. Step 2: Convert to fraction form
    370,680/813,534 = 813,534/x
  3. Step 3: Cross multiply
    370,680x = 813,534 × 813,534
  4. Step 4: Simplify right side
    370,680x = 661,837,569,156
  5. Step 5: Solve for x
    x = 661,837,569,156/370,680
  6. Step 6: Final answer
    x = 1,785,468.78

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Why These Related Problems?

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