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Finding the Third Proportional to 233,311.50 and 499,668.75

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Solution

The third proportional to 233,311.50 and 499,668.75 is: 1,070,109.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,311.50 : 499,668.75 = 499,668.75 : x
  2. Step 2: Convert to fraction form
    233,311.50/499,668.75 = 499,668.75/x
  3. Step 3: Cross multiply
    233,311.50x = 499,668.75 × 499,668.75
  4. Step 4: Simplify right side
    233,311.50x = 249,668,859,726.56
  5. Step 5: Solve for x
    x = 249,668,859,726.56/233,311.50
  6. Step 6: Final answer
    x = 1,070,109.53

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.