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Finding the Third Proportional to 335,377.50 and 498,507.75

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Solution

The third proportional to 335,377.50 and 498,507.75 is: 740,985.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,377.50 : 498,507.75 = 498,507.75 : x
  2. Step 2: Convert to fraction form
    335,377.50/498,507.75 = 498,507.75/x
  3. Step 3: Cross multiply
    335,377.50x = 498,507.75 × 498,507.75
  4. Step 4: Simplify right side
    335,377.50x = 248,509,976,810.06
  5. Step 5: Solve for x
    x = 248,509,976,810.06/335,377.50
  6. Step 6: Final answer
    x = 740,985.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.