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Finding the Third Proportional to 321,614 and 428,760.50

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Solution

The third proportional to 321,614 and 428,760.50 is: 571,603.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,614 : 428,760.50 = 428,760.50 : x
  2. Step 2: Convert to fraction form
    321,614/428,760.50 = 428,760.50/x
  3. Step 3: Cross multiply
    321,614x = 428,760.50 × 428,760.50
  4. Step 4: Simplify right side
    321,614x = 183,835,566,360.25
  5. Step 5: Solve for x
    x = 183,835,566,360.25/321,614
  6. Step 6: Final answer
    x = 571,603.12

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.