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Finding the Third Proportional to 272,325 and 598,407

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Solution

The third proportional to 272,325 and 598,407 is: 1,314,939.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,325 : 598,407 = 598,407 : x
  2. Step 2: Convert to fraction form
    272,325/598,407 = 598,407/x
  3. Step 3: Cross multiply
    272,325x = 598,407 × 598,407
  4. Step 4: Simplify right side
    272,325x = 358,090,937,649
  5. Step 5: Solve for x
    x = 358,090,937,649/272,325
  6. Step 6: Final answer
    x = 1,314,939.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.