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Finding the Third Proportional to 361,930 and 563,578

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Solution

The third proportional to 361,930 and 563,578 is: 877,573.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,930 : 563,578 = 563,578 : x
  2. Step 2: Convert to fraction form
    361,930/563,578 = 563,578/x
  3. Step 3: Cross multiply
    361,930x = 563,578 × 563,578
  4. Step 4: Simplify right side
    361,930x = 317,620,162,084
  5. Step 5: Solve for x
    x = 317,620,162,084/361,930
  6. Step 6: Final answer
    x = 877,573.46

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.