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Finding the Third Proportional to 401,116.50 and 589,686.75

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Solution

The third proportional to 401,116.50 and 589,686.75 is: 866,906.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,116.50 : 589,686.75 = 589,686.75 : x
  2. Step 2: Convert to fraction form
    401,116.50/589,686.75 = 589,686.75/x
  3. Step 3: Cross multiply
    401,116.50x = 589,686.75 × 589,686.75
  4. Step 4: Simplify right side
    401,116.50x = 347,730,463,125.56
  5. Step 5: Solve for x
    x = 347,730,463,125.56/401,116.50
  6. Step 6: Final answer
    x = 866,906.41

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.