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Finding the Third Proportional to 975.48 and 1,507.99

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Solution

The third proportional to 975.48 and 1,507.99 is: 2,331.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.48 : 1,507.99 = 1,507.99 : x
  2. Step 2: Convert to fraction form
    975.48/1,507.99 = 1,507.99/x
  3. Step 3: Cross multiply
    975.48x = 1,507.99 × 1,507.99
  4. Step 4: Simplify right side
    975.48x = 2,274,040.44
  5. Step 5: Solve for x
    x = 2,274,040.44/975.48
  6. Step 6: Final answer
    x = 2,331.20

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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.