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Finding the Third Proportional to 992.63 and 1,574.19

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Solution

The third proportional to 992.63 and 1,574.19 is: 2,496.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.63 : 1,574.19 = 1,574.19 : x
  2. Step 2: Convert to fraction form
    992.63/1,574.19 = 1,574.19/x
  3. Step 3: Cross multiply
    992.63x = 1,574.19 × 1,574.19
  4. Step 4: Simplify right side
    992.63x = 2,478,066.29
  5. Step 5: Solve for x
    x = 2,478,066.29/992.63
  6. Step 6: Final answer
    x = 2,496.48

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.