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Finding the Third Proportional to 401,882.50 and 866,863

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Solution

The third proportional to 401,882.50 and 866,863 is: 1,869,828.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,882.50 : 866,863 = 866,863 : x
  2. Step 2: Convert to fraction form
    401,882.50/866,863 = 866,863/x
  3. Step 3: Cross multiply
    401,882.50x = 866,863 × 866,863
  4. Step 4: Simplify right side
    401,882.50x = 751,451,460,769
  5. Step 5: Solve for x
    x = 751,451,460,769/401,882.50
  6. Step 6: Final answer
    x = 1,869,828.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.