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Finding the Third Proportional to 354,904.13 and 774,042.75

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Solution

The third proportional to 354,904.13 and 774,042.75 is: 1,688,180.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,904.13 : 774,042.75 = 774,042.75 : x
  2. Step 2: Convert to fraction form
    354,904.13/774,042.75 = 774,042.75/x
  3. Step 3: Cross multiply
    354,904.13x = 774,042.75 × 774,042.75
  4. Step 4: Simplify right side
    354,904.13x = 599,142,178,827.56
  5. Step 5: Solve for x
    x = 599,142,178,827.56/354,904.13
  6. Step 6: Final answer
    x = 1,688,180.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.