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Finding the Third Proportional to 262,386 and 548,076.38

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Solution

The third proportional to 262,386 and 548,076.38 is: 1,144,831.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,386 : 548,076.38 = 548,076.38 : x
  2. Step 2: Convert to fraction form
    262,386/548,076.38 = 548,076.38/x
  3. Step 3: Cross multiply
    262,386x = 548,076.38 × 548,076.38
  4. Step 4: Simplify right side
    262,386x = 300,387,712,833.14
  5. Step 5: Solve for x
    x = 300,387,712,833.14/262,386
  6. Step 6: Final answer
    x = 1,144,831.33

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.