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Finding the Third Proportional to 598,645 and 897,090

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Solution

The third proportional to 598,645 and 897,090 is: 1,344,320.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,645 : 897,090 = 897,090 : x
  2. Step 2: Convert to fraction form
    598,645/897,090 = 897,090/x
  3. Step 3: Cross multiply
    598,645x = 897,090 × 897,090
  4. Step 4: Simplify right side
    598,645x = 804,770,468,100
  5. Step 5: Solve for x
    x = 804,770,468,100/598,645
  6. Step 6: Final answer
    x = 1,344,320.04

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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.