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Finding the Third Proportional to 384,159 and 563,778

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Solution

The third proportional to 384,159 and 563,778 is: 827,380.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,159 : 563,778 = 563,778 : x
  2. Step 2: Convert to fraction form
    384,159/563,778 = 563,778/x
  3. Step 3: Cross multiply
    384,159x = 563,778 × 563,778
  4. Step 4: Simplify right side
    384,159x = 317,845,633,284
  5. Step 5: Solve for x
    x = 317,845,633,284/384,159
  6. Step 6: Final answer
    x = 827,380.42

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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.