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Finding the Third Proportional to 277,492.50 and 598,180.50

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Solution

The third proportional to 277,492.50 and 598,180.50 is: 1,289,475.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,492.50 : 598,180.50 = 598,180.50 : x
  2. Step 2: Convert to fraction form
    277,492.50/598,180.50 = 598,180.50/x
  3. Step 3: Cross multiply
    277,492.50x = 598,180.50 × 598,180.50
  4. Step 4: Simplify right side
    277,492.50x = 357,819,910,580.25
  5. Step 5: Solve for x
    x = 357,819,910,580.25/277,492.50
  6. Step 6: Final answer
    x = 1,289,475.97

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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.