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Finding the Third Proportional to 973.50 and 1,412.75

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Solution

The third proportional to 973.50 and 1,412.75 is: 2,050.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.50 : 1,412.75 = 1,412.75 : x
  2. Step 2: Convert to fraction form
    973.50/1,412.75 = 1,412.75/x
  3. Step 3: Cross multiply
    973.50x = 1,412.75 × 1,412.75
  4. Step 4: Simplify right side
    973.50x = 1,995,862.56
  5. Step 5: Solve for x
    x = 1,995,862.56/973.50
  6. Step 6: Final answer
    x = 2,050.19

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.