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Finding the Third Proportional to 354,906.56 and 774,041.06

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Solution

The third proportional to 354,906.56 and 774,041.06 is: 1,688,161.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,906.56 : 774,041.06 = 774,041.06 : x
  2. Step 2: Convert to fraction form
    354,906.56/774,041.06 = 774,041.06/x
  3. Step 3: Cross multiply
    354,906.56x = 774,041.06 × 774,041.06
  4. Step 4: Simplify right side
    354,906.56x = 599,139,566,436.13
  5. Step 5: Solve for x
    x = 599,139,566,436.13/354,906.56
  6. Step 6: Final answer
    x = 1,688,161.42

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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.