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Finding the Third Proportional to 259,944 and 540,312

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Solution

The third proportional to 259,944 and 540,312 is: 1,123,076.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,944 : 540,312 = 540,312 : x
  2. Step 2: Convert to fraction form
    259,944/540,312 = 540,312/x
  3. Step 3: Cross multiply
    259,944x = 540,312 × 540,312
  4. Step 4: Simplify right side
    259,944x = 291,937,057,344
  5. Step 5: Solve for x
    x = 291,937,057,344/259,944
  6. Step 6: Final answer
    x = 1,123,076.73

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.