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Finding the Third Proportional to 598,482 and 899,181

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Solution

The third proportional to 598,482 and 899,181 is: 1,350,962.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,482 : 899,181 = 899,181 : x
  2. Step 2: Convert to fraction form
    598,482/899,181 = 899,181/x
  3. Step 3: Cross multiply
    598,482x = 899,181 × 899,181
  4. Step 4: Simplify right side
    598,482x = 808,526,470,761
  5. Step 5: Solve for x
    x = 808,526,470,761/598,482
  6. Step 6: Final answer
    x = 1,350,962.05

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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.