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Finding the Third Proportional to 740.50 and 973.75

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Solution

The third proportional to 740.50 and 973.75 is: 1,280.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.50 : 973.75 = 973.75 : x
  2. Step 2: Convert to fraction form
    740.50/973.75 = 973.75/x
  3. Step 3: Cross multiply
    740.50x = 973.75 × 973.75
  4. Step 4: Simplify right side
    740.50x = 948,189.06
  5. Step 5: Solve for x
    x = 948,189.06/740.50
  6. Step 6: Final answer
    x = 1,280.47

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.