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Finding the Third Proportional to 277,663.50 and 598,521

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Solution

The third proportional to 277,663.50 and 598,521 is: 1,290,149.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,663.50 : 598,521 = 598,521 : x
  2. Step 2: Convert to fraction form
    277,663.50/598,521 = 598,521/x
  3. Step 3: Cross multiply
    277,663.50x = 598,521 × 598,521
  4. Step 4: Simplify right side
    277,663.50x = 358,227,387,441
  5. Step 5: Solve for x
    x = 358,227,387,441/277,663.50
  6. Step 6: Final answer
    x = 1,290,149.36

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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.