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Finding the Third Proportional to 567,364.50 and 878,475.38

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Solution

The third proportional to 567,364.50 and 878,475.38 is: 1,360,182.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,364.50 : 878,475.38 = 878,475.38 : x
  2. Step 2: Convert to fraction form
    567,364.50/878,475.38 = 878,475.38/x
  3. Step 3: Cross multiply
    567,364.50x = 878,475.38 × 878,475.38
  4. Step 4: Simplify right side
    567,364.50x = 771,718,984,481.39
  5. Step 5: Solve for x
    x = 771,718,984,481.39/567,364.50
  6. Step 6: Final answer
    x = 1,360,182.01

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.