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Finding the Third Proportional to 307,126.50 and 464,985.75

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Solution

The third proportional to 307,126.50 and 464,985.75 is: 703,982.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,126.50 : 464,985.75 = 464,985.75 : x
  2. Step 2: Convert to fraction form
    307,126.50/464,985.75 = 464,985.75/x
  3. Step 3: Cross multiply
    307,126.50x = 464,985.75 × 464,985.75
  4. Step 4: Simplify right side
    307,126.50x = 216,211,747,703.06
  5. Step 5: Solve for x
    x = 216,211,747,703.06/307,126.50
  6. Step 6: Final answer
    x = 703,982.72

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