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Finding the Third Proportional to 218,776.50 and 471,694.50

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Solution

The third proportional to 218,776.50 and 471,694.50 is: 1,017,000.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,776.50 : 471,694.50 = 471,694.50 : x
  2. Step 2: Convert to fraction form
    218,776.50/471,694.50 = 471,694.50/x
  3. Step 3: Cross multiply
    218,776.50x = 471,694.50 × 471,694.50
  4. Step 4: Simplify right side
    218,776.50x = 222,495,701,330.25
  5. Step 5: Solve for x
    x = 222,495,701,330.25/218,776.50
  6. Step 6: Final answer
    x = 1,017,000.00

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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.