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Finding the Third Proportional to 328,707 and 496,615.50

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Solution

The third proportional to 328,707 and 496,615.50 is: 750,294.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,707 : 496,615.50 = 496,615.50 : x
  2. Step 2: Convert to fraction form
    328,707/496,615.50 = 496,615.50/x
  3. Step 3: Cross multiply
    328,707x = 496,615.50 × 496,615.50
  4. Step 4: Simplify right side
    328,707x = 246,626,954,840.25
  5. Step 5: Solve for x
    x = 246,626,954,840.25/328,707
  6. Step 6: Final answer
    x = 750,294.20

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Why These Related Problems?

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