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Finding the Third Proportional to 715.94 and 1,054.19

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Solution

The third proportional to 715.94 and 1,054.19 is: 1,552.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.94 : 1,054.19 = 1,054.19 : x
  2. Step 2: Convert to fraction form
    715.94/1,054.19 = 1,054.19/x
  3. Step 3: Cross multiply
    715.94x = 1,054.19 × 1,054.19
  4. Step 4: Simplify right side
    715.94x = 1,111,311.29
  5. Step 5: Solve for x
    x = 1,111,311.29/715.94
  6. Step 6: Final answer
    x = 1,552.25

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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.