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Finding the Third Proportional to 313,635.16 and 498,487.92

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Solution

The third proportional to 313,635.16 and 498,487.92 is: 792,290.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,635.16 : 498,487.92 = 498,487.92 : x
  2. Step 2: Convert to fraction form
    313,635.16/498,487.92 = 498,487.92/x
  3. Step 3: Cross multiply
    313,635.16x = 498,487.92 × 498,487.92
  4. Step 4: Simplify right side
    313,635.16x = 248,490,208,255.26
  5. Step 5: Solve for x
    x = 248,490,208,255.26/313,635.16
  6. Step 6: Final answer
    x = 792,290.65

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.