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Finding the Third Proportional to 982.50 and 1,457

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Solution

The third proportional to 982.50 and 1,457 is: 2,160.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.50 : 1,457 = 1,457 : x
  2. Step 2: Convert to fraction form
    982.50/1,457 = 1,457/x
  3. Step 3: Cross multiply
    982.50x = 1,457 × 1,457
  4. Step 4: Simplify right side
    982.50x = 2,122,849
  5. Step 5: Solve for x
    x = 2,122,849/982.50
  6. Step 6: Final answer
    x = 2,160.66

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.