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Finding the Third Proportional to 360,949.50 and 784,252.13

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Solution

The third proportional to 360,949.50 and 784,252.13 is: 1,703,981.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,949.50 : 784,252.13 = 784,252.13 : x
  2. Step 2: Convert to fraction form
    360,949.50/784,252.13 = 784,252.13/x
  3. Step 3: Cross multiply
    360,949.50x = 784,252.13 × 784,252.13
  4. Step 4: Simplify right side
    360,949.50x = 615,051,395,567.02
  5. Step 5: Solve for x
    x = 615,051,395,567.02/360,949.50
  6. Step 6: Final answer
    x = 1,703,981.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.