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Finding the Third Proportional to 563,769 and 863,514

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Solution

The third proportional to 563,769 and 863,514 is: 1,322,627.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,769 : 863,514 = 863,514 : x
  2. Step 2: Convert to fraction form
    563,769/863,514 = 863,514/x
  3. Step 3: Cross multiply
    563,769x = 863,514 × 863,514
  4. Step 4: Simplify right side
    563,769x = 745,656,428,196
  5. Step 5: Solve for x
    x = 745,656,428,196/563,769
  6. Step 6: Final answer
    x = 1,322,627.58

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.