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Finding the Third Proportional to 427,788 and 598,110

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Solution

The third proportional to 427,788 and 598,110 is: 836,244.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,788 : 598,110 = 598,110 : x
  2. Step 2: Convert to fraction form
    427,788/598,110 = 598,110/x
  3. Step 3: Cross multiply
    427,788x = 598,110 × 598,110
  4. Step 4: Simplify right side
    427,788x = 357,735,572,100
  5. Step 5: Solve for x
    x = 357,735,572,100/427,788
  6. Step 6: Final answer
    x = 836,244.99

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.