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Finding the Third Proportional to 332,364 and 498,421

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Solution

The third proportional to 332,364 and 498,421 is: 747,444.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,364 : 498,421 = 498,421 : x
  2. Step 2: Convert to fraction form
    332,364/498,421 = 498,421/x
  3. Step 3: Cross multiply
    332,364x = 498,421 × 498,421
  4. Step 4: Simplify right side
    332,364x = 248,423,493,241
  5. Step 5: Solve for x
    x = 248,423,493,241/332,364
  6. Step 6: Final answer
    x = 747,444.05

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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.