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Finding the Third Proportional to 277,164 and 598,680

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Solution

The third proportional to 277,164 and 598,680 is: 1,293,161.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,164 : 598,680 = 598,680 : x
  2. Step 2: Convert to fraction form
    277,164/598,680 = 598,680/x
  3. Step 3: Cross multiply
    277,164x = 598,680 × 598,680
  4. Step 4: Simplify right side
    277,164x = 358,417,742,400
  5. Step 5: Solve for x
    x = 358,417,742,400/277,164
  6. Step 6: Final answer
    x = 1,293,161.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.