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Finding the Third Proportional to 284,806.13 and 429,396.19

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Solution

The third proportional to 284,806.13 and 429,396.19 is: 647,391.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,806.13 : 429,396.19 = 429,396.19 : x
  2. Step 2: Convert to fraction form
    284,806.13/429,396.19 = 429,396.19/x
  3. Step 3: Cross multiply
    284,806.13x = 429,396.19 × 429,396.19
  4. Step 4: Simplify right side
    284,806.13x = 184,381,085,839.54
  5. Step 5: Solve for x
    x = 184,381,085,839.54/284,806.13
  6. Step 6: Final answer
    x = 647,391.58

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.