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Finding the Third Proportional to 504.19 and 1,107.58

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Solution

The third proportional to 504.19 and 1,107.58 is: 2,433.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.19 : 1,107.58 = 1,107.58 : x
  2. Step 2: Convert to fraction form
    504.19/1,107.58 = 1,107.58/x
  3. Step 3: Cross multiply
    504.19x = 1,107.58 × 1,107.58
  4. Step 4: Simplify right side
    504.19x = 1,226,733.63
  5. Step 5: Solve for x
    x = 1,226,733.63/504.19
  6. Step 6: Final answer
    x = 2,433.06

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.