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Finding the Third Proportional to 233,223.75 and 499,614.75

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Solution

The third proportional to 233,223.75 and 499,614.75 is: 1,070,280.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,223.75 : 499,614.75 = 499,614.75 : x
  2. Step 2: Convert to fraction form
    233,223.75/499,614.75 = 499,614.75/x
  3. Step 3: Cross multiply
    233,223.75x = 499,614.75 × 499,614.75
  4. Step 4: Simplify right side
    233,223.75x = 249,614,898,417.56
  5. Step 5: Solve for x
    x = 249,614,898,417.56/233,223.75
  6. Step 6: Final answer
    x = 1,070,280.79

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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.