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Finding the Third Proportional to 354,910.50 and 774,055.13

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Solution

The third proportional to 354,910.50 and 774,055.13 is: 1,688,204.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,910.50 : 774,055.13 = 774,055.13 : x
  2. Step 2: Convert to fraction form
    354,910.50/774,055.13 = 774,055.13/x
  3. Step 3: Cross multiply
    354,910.50x = 774,055.13 × 774,055.13
  4. Step 4: Simplify right side
    354,910.50x = 599,161,336,538.77
  5. Step 5: Solve for x
    x = 599,161,336,538.77/354,910.50
  6. Step 6: Final answer
    x = 1,688,204.03

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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.