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Finding the Third Proportional to 653.81 and 1,054.13

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Solution

The third proportional to 653.81 and 1,054.13 is: 1,699.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.81 : 1,054.13 = 1,054.13 : x
  2. Step 2: Convert to fraction form
    653.81/1,054.13 = 1,054.13/x
  3. Step 3: Cross multiply
    653.81x = 1,054.13 × 1,054.13
  4. Step 4: Simplify right side
    653.81x = 1,111,179.52
  5. Step 5: Solve for x
    x = 1,111,179.52/653.81
  6. Step 6: Final answer
    x = 1,699.54

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.