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Finding the Third Proportional to 299,440.13 and 476,209.13

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Solution

The third proportional to 299,440.13 and 476,209.13 is: 757,330.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,440.13 : 476,209.13 = 476,209.13 : x
  2. Step 2: Convert to fraction form
    299,440.13/476,209.13 = 476,209.13/x
  3. Step 3: Cross multiply
    299,440.13x = 476,209.13 × 476,209.13
  4. Step 4: Simplify right side
    299,440.13x = 226,775,130,733.27
  5. Step 5: Solve for x
    x = 226,775,130,733.27/299,440.13
  6. Step 6: Final answer
    x = 757,330.47

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.