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Finding the Third Proportional to 507.12 and 1,097.77

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Solution

The third proportional to 507.12 and 1,097.77 is: 2,376.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.12 : 1,097.77 = 1,097.77 : x
  2. Step 2: Convert to fraction form
    507.12/1,097.77 = 1,097.77/x
  3. Step 3: Cross multiply
    507.12x = 1,097.77 × 1,097.77
  4. Step 4: Simplify right side
    507.12x = 1,205,102.23
  5. Step 5: Solve for x
    x = 1,205,102.23/507.12
  6. Step 6: Final answer
    x = 2,376.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.