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Finding the Third Proportional to 307,131 and 464,991

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Solution

The third proportional to 307,131 and 464,991 is: 703,988.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,131 : 464,991 = 464,991 : x
  2. Step 2: Convert to fraction form
    307,131/464,991 = 464,991/x
  3. Step 3: Cross multiply
    307,131x = 464,991 × 464,991
  4. Step 4: Simplify right side
    307,131x = 216,216,630,081
  5. Step 5: Solve for x
    x = 216,216,630,081/307,131
  6. Step 6: Final answer
    x = 703,988.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.