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Finding the Third Proportional to 329,248 and 498,462

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Solution

The third proportional to 329,248 and 498,462 is: 754,641.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,248 : 498,462 = 498,462 : x
  2. Step 2: Convert to fraction form
    329,248/498,462 = 498,462/x
  3. Step 3: Cross multiply
    329,248x = 498,462 × 498,462
  4. Step 4: Simplify right side
    329,248x = 248,464,365,444
  5. Step 5: Solve for x
    x = 248,464,365,444/329,248
  6. Step 6: Final answer
    x = 754,641.99

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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.