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Finding the Third Proportional to 127,579 and 277,324

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Solution

The third proportional to 127,579 and 277,324 is: 602,831.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,579 : 277,324 = 277,324 : x
  2. Step 2: Convert to fraction form
    127,579/277,324 = 277,324/x
  3. Step 3: Cross multiply
    127,579x = 277,324 × 277,324
  4. Step 4: Simplify right side
    127,579x = 76,908,600,976
  5. Step 5: Solve for x
    x = 76,908,600,976/127,579
  6. Step 6: Final answer
    x = 602,831.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.