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Finding the Third Proportional to 215,166.38 and 472,797

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Solution

The third proportional to 215,166.38 and 472,797 is: 1,038,903.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,166.38 : 472,797 = 472,797 : x
  2. Step 2: Convert to fraction form
    215,166.38/472,797 = 472,797/x
  3. Step 3: Cross multiply
    215,166.38x = 472,797 × 472,797
  4. Step 4: Simplify right side
    215,166.38x = 223,537,003,209
  5. Step 5: Solve for x
    x = 223,537,003,209/215,166.38
  6. Step 6: Final answer
    x = 1,038,903.05

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