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Finding the Third Proportional to 561,488 and 863,919

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Solution

The third proportional to 561,488 and 863,919 is: 1,329,246.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,488 : 863,919 = 863,919 : x
  2. Step 2: Convert to fraction form
    561,488/863,919 = 863,919/x
  3. Step 3: Cross multiply
    561,488x = 863,919 × 863,919
  4. Step 4: Simplify right side
    561,488x = 746,356,038,561
  5. Step 5: Solve for x
    x = 746,356,038,561/561,488
  6. Step 6: Final answer
    x = 1,329,246.64

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.