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Finding the Third Proportional to 384,210 and 566,379

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Solution

The third proportional to 384,210 and 566,379 is: 834,921.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,210 : 566,379 = 566,379 : x
  2. Step 2: Convert to fraction form
    384,210/566,379 = 566,379/x
  3. Step 3: Cross multiply
    384,210x = 566,379 × 566,379
  4. Step 4: Simplify right side
    384,210x = 320,785,171,641
  5. Step 5: Solve for x
    x = 320,785,171,641/384,210
  6. Step 6: Final answer
    x = 834,921.45

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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.