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Finding the Third Proportional to 233,167.50 and 499,407.75

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Solution

The third proportional to 233,167.50 and 499,407.75 is: 1,069,652.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,167.50 : 499,407.75 = 499,407.75 : x
  2. Step 2: Convert to fraction form
    233,167.50/499,407.75 = 499,407.75/x
  3. Step 3: Cross multiply
    233,167.50x = 499,407.75 × 499,407.75
  4. Step 4: Simplify right side
    233,167.50x = 249,408,100,760.06
  5. Step 5: Solve for x
    x = 249,408,100,760.06/233,167.50
  6. Step 6: Final answer
    x = 1,069,652.08

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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.