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Finding the Third Proportional to 237,462.50 and 499,525.50

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Solution

The third proportional to 237,462.50 and 499,525.50 is: 1,050,800.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,462.50 : 499,525.50 = 499,525.50 : x
  2. Step 2: Convert to fraction form
    237,462.50/499,525.50 = 499,525.50/x
  3. Step 3: Cross multiply
    237,462.50x = 499,525.50 × 499,525.50
  4. Step 4: Simplify right side
    237,462.50x = 249,525,725,150.25
  5. Step 5: Solve for x
    x = 249,525,725,150.25/237,462.50
  6. Step 6: Final answer
    x = 1,050,800.55

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.