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Finding the Third Proportional to 277,062 and 598,330

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Solution

The third proportional to 277,062 and 598,330 is: 1,292,125.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,062 : 598,330 = 598,330 : x
  2. Step 2: Convert to fraction form
    277,062/598,330 = 598,330/x
  3. Step 3: Cross multiply
    277,062x = 598,330 × 598,330
  4. Step 4: Simplify right side
    277,062x = 357,998,788,900
  5. Step 5: Solve for x
    x = 357,998,788,900/277,062
  6. Step 6: Final answer
    x = 1,292,125.19

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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.