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Finding the Third Proportional to 407,170 and 598,591

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Solution

The third proportional to 407,170 and 598,591 is: 880,003.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,170 : 598,591 = 598,591 : x
  2. Step 2: Convert to fraction form
    407,170/598,591 = 598,591/x
  3. Step 3: Cross multiply
    407,170x = 598,591 × 598,591
  4. Step 4: Simplify right side
    407,170x = 358,311,185,281
  5. Step 5: Solve for x
    x = 358,311,185,281/407,170
  6. Step 6: Final answer
    x = 880,003.89

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.