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Finding the Third Proportional to 332,064 and 498,429

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Solution

The third proportional to 332,064 and 498,429 is: 748,143.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,064 : 498,429 = 498,429 : x
  2. Step 2: Convert to fraction form
    332,064/498,429 = 498,429/x
  3. Step 3: Cross multiply
    332,064x = 498,429 × 498,429
  4. Step 4: Simplify right side
    332,064x = 248,431,468,041
  5. Step 5: Solve for x
    x = 248,431,468,041/332,064
  6. Step 6: Final answer
    x = 748,143.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.