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Finding the Third Proportional to 329,445 and 498,319.50

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Solution

The third proportional to 329,445 and 498,319.50 is: 753,759.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,445 : 498,319.50 = 498,319.50 : x
  2. Step 2: Convert to fraction form
    329,445/498,319.50 = 498,319.50/x
  3. Step 3: Cross multiply
    329,445x = 498,319.50 × 498,319.50
  4. Step 4: Simplify right side
    329,445x = 248,322,324,080.25
  5. Step 5: Solve for x
    x = 248,322,324,080.25/329,445
  6. Step 6: Final answer
    x = 753,759.58

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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.