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Finding the Third Proportional to 354,385.13 and 533,400.19

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Solution

The third proportional to 354,385.13 and 533,400.19 is: 802,843.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,385.13 : 533,400.19 = 533,400.19 : x
  2. Step 2: Convert to fraction form
    354,385.13/533,400.19 = 533,400.19/x
  3. Step 3: Cross multiply
    354,385.13x = 533,400.19 × 533,400.19
  4. Step 4: Simplify right side
    354,385.13x = 284,515,760,025.04
  5. Step 5: Solve for x
    x = 284,515,760,025.04/354,385.13
  6. Step 6: Final answer
    x = 802,843.40

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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.