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Finding the Third Proportional to 398,865.50 and 598,576

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Solution

The third proportional to 398,865.50 and 598,576 is: 898,280.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,865.50 : 598,576 = 598,576 : x
  2. Step 2: Convert to fraction form
    398,865.50/598,576 = 598,576/x
  3. Step 3: Cross multiply
    398,865.50x = 598,576 × 598,576
  4. Step 4: Simplify right side
    398,865.50x = 358,293,227,776
  5. Step 5: Solve for x
    x = 358,293,227,776/398,865.50
  6. Step 6: Final answer
    x = 898,280.82

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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.