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Finding the Third Proportional to 218,984.50 and 471,705.50

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Solution

The third proportional to 218,984.50 and 471,705.50 is: 1,016,081.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,984.50 : 471,705.50 = 471,705.50 : x
  2. Step 2: Convert to fraction form
    218,984.50/471,705.50 = 471,705.50/x
  3. Step 3: Cross multiply
    218,984.50x = 471,705.50 × 471,705.50
  4. Step 4: Simplify right side
    218,984.50x = 222,506,078,730.25
  5. Step 5: Solve for x
    x = 222,506,078,730.25/218,984.50
  6. Step 6: Final answer
    x = 1,016,081.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.