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Finding the Third Proportional to 395,947.50 and 866,724

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Solution

The third proportional to 395,947.50 and 866,724 is: 1,897,247.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,947.50 : 866,724 = 866,724 : x
  2. Step 2: Convert to fraction form
    395,947.50/866,724 = 866,724/x
  3. Step 3: Cross multiply
    395,947.50x = 866,724 × 866,724
  4. Step 4: Simplify right side
    395,947.50x = 751,210,492,176
  5. Step 5: Solve for x
    x = 751,210,492,176/395,947.50
  6. Step 6: Final answer
    x = 1,897,247.72

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.