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Finding the Third Proportional to 277,044 and 598,380

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Solution

The third proportional to 277,044 and 598,380 is: 1,292,425.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,044 : 598,380 = 598,380 : x
  2. Step 2: Convert to fraction form
    277,044/598,380 = 598,380/x
  3. Step 3: Cross multiply
    277,044x = 598,380 × 598,380
  4. Step 4: Simplify right side
    277,044x = 358,058,624,400
  5. Step 5: Solve for x
    x = 358,058,624,400/277,044
  6. Step 6: Final answer
    x = 1,292,425.12

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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.