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Finding the Third Proportional to 943.50 and 1,459.75

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Solution

The third proportional to 943.50 and 1,459.75 is: 2,258.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.50 : 1,459.75 = 1,459.75 : x
  2. Step 2: Convert to fraction form
    943.50/1,459.75 = 1,459.75/x
  3. Step 3: Cross multiply
    943.50x = 1,459.75 × 1,459.75
  4. Step 4: Simplify right side
    943.50x = 2,130,870.06
  5. Step 5: Solve for x
    x = 2,130,870.06/943.50
  6. Step 6: Final answer
    x = 2,258.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.