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Finding the Third Proportional to 578,576.25 and 867,294

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Solution

The third proportional to 578,576.25 and 867,294 is: 1,300,086.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,576.25 : 867,294 = 867,294 : x
  2. Step 2: Convert to fraction form
    578,576.25/867,294 = 867,294/x
  3. Step 3: Cross multiply
    578,576.25x = 867,294 × 867,294
  4. Step 4: Simplify right side
    578,576.25x = 752,198,882,436
  5. Step 5: Solve for x
    x = 752,198,882,436/578,576.25
  6. Step 6: Final answer
    x = 1,300,086.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.