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Finding the Third Proportional to 277,348 and 596,188

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Solution

The third proportional to 277,348 and 596,188 is: 1,281,567.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,348 : 596,188 = 596,188 : x
  2. Step 2: Convert to fraction form
    277,348/596,188 = 596,188/x
  3. Step 3: Cross multiply
    277,348x = 596,188 × 596,188
  4. Step 4: Simplify right side
    277,348x = 355,440,131,344
  5. Step 5: Solve for x
    x = 355,440,131,344/277,348
  6. Step 6: Final answer
    x = 1,281,567.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.