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Finding the Third Proportional to 417.38 and 612.94

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Solution

The third proportional to 417.38 and 612.94 is: 900.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.38 : 612.94 = 612.94 : x
  2. Step 2: Convert to fraction form
    417.38/612.94 = 612.94/x
  3. Step 3: Cross multiply
    417.38x = 612.94 × 612.94
  4. Step 4: Simplify right side
    417.38x = 375,692.38
  5. Step 5: Solve for x
    x = 375,692.38/417.38
  6. Step 6: Final answer
    x = 900.13

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.