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Finding the Third Proportional to 474.75 and 1,038.09

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Solution

The third proportional to 474.75 and 1,038.09 is: 2,269.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.75 : 1,038.09 = 1,038.09 : x
  2. Step 2: Convert to fraction form
    474.75/1,038.09 = 1,038.09/x
  3. Step 3: Cross multiply
    474.75x = 1,038.09 × 1,038.09
  4. Step 4: Simplify right side
    474.75x = 1,077,638.63
  5. Step 5: Solve for x
    x = 1,077,638.63/474.75
  6. Step 6: Final answer
    x = 2,269.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.