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Finding the Third Proportional to 237,576 and 516,978.50

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Solution

The third proportional to 237,576 and 516,978.50 is: 1,124,973.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,576 : 516,978.50 = 516,978.50 : x
  2. Step 2: Convert to fraction form
    237,576/516,978.50 = 516,978.50/x
  3. Step 3: Cross multiply
    237,576x = 516,978.50 × 516,978.50
  4. Step 4: Simplify right side
    237,576x = 267,266,769,462.25
  5. Step 5: Solve for x
    x = 267,266,769,462.25/237,576
  6. Step 6: Final answer
    x = 1,124,973.77

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.