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Finding the Third Proportional to 270,248.27 and 573,831.21

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Solution

The third proportional to 270,248.27 and 573,831.21 is: 1,218,443.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,248.27 : 573,831.21 = 573,831.21 : x
  2. Step 2: Convert to fraction form
    270,248.27/573,831.21 = 573,831.21/x
  3. Step 3: Cross multiply
    270,248.27x = 573,831.21 × 573,831.21
  4. Step 4: Simplify right side
    270,248.27x = 329,282,258,646.00
  5. Step 5: Solve for x
    x = 329,282,258,646.00/270,248.27
  6. Step 6: Final answer
    x = 1,218,443.52

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.