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Finding the Third Proportional to 277,068 and 598,436

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Solution

The third proportional to 277,068 and 598,436 is: 1,292,555.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,068 : 598,436 = 598,436 : x
  2. Step 2: Convert to fraction form
    277,068/598,436 = 598,436/x
  3. Step 3: Cross multiply
    277,068x = 598,436 × 598,436
  4. Step 4: Simplify right side
    277,068x = 358,125,646,096
  5. Step 5: Solve for x
    x = 358,125,646,096/277,068
  6. Step 6: Final answer
    x = 1,292,555.06

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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.