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Finding the Third Proportional to 354,886.50 and 774,006.75

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Solution

The third proportional to 354,886.50 and 774,006.75 is: 1,688,107.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,886.50 : 774,006.75 = 774,006.75 : x
  2. Step 2: Convert to fraction form
    354,886.50/774,006.75 = 774,006.75/x
  3. Step 3: Cross multiply
    354,886.50x = 774,006.75 × 774,006.75
  4. Step 4: Simplify right side
    354,886.50x = 599,086,449,045.56
  5. Step 5: Solve for x
    x = 599,086,449,045.56/354,886.50
  6. Step 6: Final answer
    x = 1,688,107.18

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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.