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Finding the Third Proportional to 366,552.84 and 784,363.50

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Solution

The third proportional to 366,552.84 and 784,363.50 is: 1,678,410.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,552.84 : 784,363.50 = 784,363.50 : x
  2. Step 2: Convert to fraction form
    366,552.84/784,363.50 = 784,363.50/x
  3. Step 3: Cross multiply
    366,552.84x = 784,363.50 × 784,363.50
  4. Step 4: Simplify right side
    366,552.84x = 615,226,100,132.25
  5. Step 5: Solve for x
    x = 615,226,100,132.25/366,552.84
  6. Step 6: Final answer
    x = 1,678,410.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.