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Finding the Third Proportional to 314,960.91 and 484,768.13

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Solution

The third proportional to 314,960.91 and 484,768.13 is: 746,124.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,960.91 : 484,768.13 = 484,768.13 : x
  2. Step 2: Convert to fraction form
    314,960.91/484,768.13 = 484,768.13/x
  3. Step 3: Cross multiply
    314,960.91x = 484,768.13 × 484,768.13
  4. Step 4: Simplify right side
    314,960.91x = 235,000,135,016.02
  5. Step 5: Solve for x
    x = 235,000,135,016.02/314,960.91
  6. Step 6: Final answer
    x = 746,124.77

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.