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Finding the Third Proportional to 563,928 and 885,987

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Solution

The third proportional to 563,928 and 885,987 is: 1,391,973.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,928 : 885,987 = 885,987 : x
  2. Step 2: Convert to fraction form
    563,928/885,987 = 885,987/x
  3. Step 3: Cross multiply
    563,928x = 885,987 × 885,987
  4. Step 4: Simplify right side
    563,928x = 784,972,964,169
  5. Step 5: Solve for x
    x = 784,972,964,169/563,928
  6. Step 6: Final answer
    x = 1,391,973.73

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.