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Finding the Third Proportional to 235,570.50 and 516,000

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Solution

The third proportional to 235,570.50 and 516,000 is: 1,130,260.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,570.50 : 516,000 = 516,000 : x
  2. Step 2: Convert to fraction form
    235,570.50/516,000 = 516,000/x
  3. Step 3: Cross multiply
    235,570.50x = 516,000 × 516,000
  4. Step 4: Simplify right side
    235,570.50x = 266,256,000,000
  5. Step 5: Solve for x
    x = 266,256,000,000/235,570.50
  6. Step 6: Final answer
    x = 1,130,260.37

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.