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Finding the Third Proportional to 332,265 and 501,853.50

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Solution

The third proportional to 332,265 and 501,853.50 is: 758,000.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,265 : 501,853.50 = 501,853.50 : x
  2. Step 2: Convert to fraction form
    332,265/501,853.50 = 501,853.50/x
  3. Step 3: Cross multiply
    332,265x = 501,853.50 × 501,853.50
  4. Step 4: Simplify right side
    332,265x = 251,856,935,462.25
  5. Step 5: Solve for x
    x = 251,856,935,462.25/332,265
  6. Step 6: Final answer
    x = 758,000.20

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.