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Finding the Third Proportional to 322,401.75 and 498,729.75

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Solution

The third proportional to 322,401.75 and 498,729.75 is: 771,495.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,401.75 : 498,729.75 = 498,729.75 : x
  2. Step 2: Convert to fraction form
    322,401.75/498,729.75 = 498,729.75/x
  3. Step 3: Cross multiply
    322,401.75x = 498,729.75 × 498,729.75
  4. Step 4: Simplify right side
    322,401.75x = 248,731,363,535.06
  5. Step 5: Solve for x
    x = 248,731,363,535.06/322,401.75
  6. Step 6: Final answer
    x = 771,495.08

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.