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Finding the Third Proportional to 321,931.50 and 498,253.50

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Solution

The third proportional to 321,931.50 and 498,253.50 is: 771,147.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,931.50 : 498,253.50 = 498,253.50 : x
  2. Step 2: Convert to fraction form
    321,931.50/498,253.50 = 498,253.50/x
  3. Step 3: Cross multiply
    321,931.50x = 498,253.50 × 498,253.50
  4. Step 4: Simplify right side
    321,931.50x = 248,256,550,262.25
  5. Step 5: Solve for x
    x = 248,256,550,262.25/321,931.50
  6. Step 6: Final answer
    x = 771,147.12

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