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Finding the Third Proportional to 1,054.69 and 1,386.28

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Solution

The third proportional to 1,054.69 and 1,386.28 is: 1,822.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.69 : 1,386.28 = 1,386.28 : x
  2. Step 2: Convert to fraction form
    1,054.69/1,386.28 = 1,386.28/x
  3. Step 3: Cross multiply
    1,054.69x = 1,386.28 × 1,386.28
  4. Step 4: Simplify right side
    1,054.69x = 1,921,775.70
  5. Step 5: Solve for x
    x = 1,921,775.70/1,054.69
  6. Step 6: Final answer
    x = 1,822.13

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.