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Finding the Third Proportional to 398,940 and 598,411.50

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Solution

The third proportional to 398,940 and 598,411.50 is: 897,619.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,940 : 598,411.50 = 598,411.50 : x
  2. Step 2: Convert to fraction form
    398,940/598,411.50 = 598,411.50/x
  3. Step 3: Cross multiply
    398,940x = 598,411.50 × 598,411.50
  4. Step 4: Simplify right side
    398,940x = 358,096,323,332.25
  5. Step 5: Solve for x
    x = 358,096,323,332.25/398,940
  6. Step 6: Final answer
    x = 897,619.50

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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.