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Finding the Third Proportional to 401,882.63 and 866,863.50

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Solution

The third proportional to 401,882.63 and 866,863.50 is: 1,869,830.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,882.63 : 866,863.50 = 866,863.50 : x
  2. Step 2: Convert to fraction form
    401,882.63/866,863.50 = 866,863.50/x
  3. Step 3: Cross multiply
    401,882.63x = 866,863.50 × 866,863.50
  4. Step 4: Simplify right side
    401,882.63x = 751,452,327,632.25
  5. Step 5: Solve for x
    x = 751,452,327,632.25/401,882.63
  6. Step 6: Final answer
    x = 1,869,830.35

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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.