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Finding the Third Proportional to 540.84 and 1,307.81

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Solution

The third proportional to 540.84 and 1,307.81 is: 3,162.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.84 : 1,307.81 = 1,307.81 : x
  2. Step 2: Convert to fraction form
    540.84/1,307.81 = 1,307.81/x
  3. Step 3: Cross multiply
    540.84x = 1,307.81 × 1,307.81
  4. Step 4: Simplify right side
    540.84x = 1,710,373.54
  5. Step 5: Solve for x
    x = 1,710,373.54/540.84
  6. Step 6: Final answer
    x = 3,162.42

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.