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Finding the Third Proportional to 373.13 and 521.95

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Solution

The third proportional to 373.13 and 521.95 is: 730.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.13 : 521.95 = 521.95 : x
  2. Step 2: Convert to fraction form
    373.13/521.95 = 521.95/x
  3. Step 3: Cross multiply
    373.13x = 521.95 × 521.95
  4. Step 4: Simplify right side
    373.13x = 272,435.06
  5. Step 5: Solve for x
    x = 272,435.06/373.13
  6. Step 6: Final answer
    x = 730.14

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.