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Finding the Third Proportional to 992.75 and 1,459.50

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Solution

The third proportional to 992.75 and 1,459.50 is: 2,145.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.75 : 1,459.50 = 1,459.50 : x
  2. Step 2: Convert to fraction form
    992.75/1,459.50 = 1,459.50/x
  3. Step 3: Cross multiply
    992.75x = 1,459.50 × 1,459.50
  4. Step 4: Simplify right side
    992.75x = 2,130,140.25
  5. Step 5: Solve for x
    x = 2,130,140.25/992.75
  6. Step 6: Final answer
    x = 2,145.70

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.