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Finding the Third Proportional to 384,177.94 and 563,811.19

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Solution

The third proportional to 384,177.94 and 563,811.19 is: 827,437.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,177.94 : 563,811.19 = 563,811.19 : x
  2. Step 2: Convert to fraction form
    384,177.94/563,811.19 = 563,811.19/x
  3. Step 3: Cross multiply
    384,177.94x = 563,811.19 × 563,811.19
  4. Step 4: Simplify right side
    384,177.94x = 317,883,055,150.16
  5. Step 5: Solve for x
    x = 317,883,055,150.16/384,177.94
  6. Step 6: Final answer
    x = 827,437.04

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.