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Finding the Third Proportional to 277,404.75 and 598,178.25

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Solution

The third proportional to 277,404.75 and 598,178.25 is: 1,289,874.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,404.75 : 598,178.25 = 598,178.25 : x
  2. Step 2: Convert to fraction form
    277,404.75/598,178.25 = 598,178.25/x
  3. Step 3: Cross multiply
    277,404.75x = 598,178.25 × 598,178.25
  4. Step 4: Simplify right side
    277,404.75x = 357,817,218,773.06
  5. Step 5: Solve for x
    x = 357,817,218,773.06/277,404.75
  6. Step 6: Final answer
    x = 1,289,874.16

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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.