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Finding the Third Proportional to 516,100.50 and 1,214,281.50

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Solution

The third proportional to 516,100.50 and 1,214,281.50 is: 2,856,962.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,100.50 : 1,214,281.50 = 1,214,281.50 : x
  2. Step 2: Convert to fraction form
    516,100.50/1,214,281.50 = 1,214,281.50/x
  3. Step 3: Cross multiply
    516,100.50x = 1,214,281.50 × 1,214,281.50
  4. Step 4: Simplify right side
    516,100.50x = 1,474,479,561,242.25
  5. Step 5: Solve for x
    x = 1,474,479,561,242.25/516,100.50
  6. Step 6: Final answer
    x = 2,856,962.09

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.