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Finding the Third Proportional to 233,898.75 and 513,472.50

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Solution

The third proportional to 233,898.75 and 513,472.50 is: 1,127,214.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,898.75 : 513,472.50 = 513,472.50 : x
  2. Step 2: Convert to fraction form
    233,898.75/513,472.50 = 513,472.50/x
  3. Step 3: Cross multiply
    233,898.75x = 513,472.50 × 513,472.50
  4. Step 4: Simplify right side
    233,898.75x = 263,654,008,256.25
  5. Step 5: Solve for x
    x = 263,654,008,256.25/233,898.75
  6. Step 6: Final answer
    x = 1,127,214.27

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.