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Finding the Third Proportional to 277,898.50 and 565,619

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Solution

The third proportional to 277,898.50 and 565,619 is: 1,151,229.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,898.50 : 565,619 = 565,619 : x
  2. Step 2: Convert to fraction form
    277,898.50/565,619 = 565,619/x
  3. Step 3: Cross multiply
    277,898.50x = 565,619 × 565,619
  4. Step 4: Simplify right side
    277,898.50x = 319,924,853,161
  5. Step 5: Solve for x
    x = 319,924,853,161/277,898.50
  6. Step 6: Final answer
    x = 1,151,229.15

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.