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Finding the Third Proportional to 354,902.63 and 774,037.13

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Solution

The third proportional to 354,902.63 and 774,037.13 is: 1,688,162.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,902.63 : 774,037.13 = 774,037.13 : x
  2. Step 2: Convert to fraction form
    354,902.63/774,037.13 = 774,037.13/x
  3. Step 3: Cross multiply
    354,902.63x = 774,037.13 × 774,037.13
  4. Step 4: Simplify right side
    354,902.63x = 599,133,470,878.27
  5. Step 5: Solve for x
    x = 599,133,470,878.27/354,902.63
  6. Step 6: Final answer
    x = 1,688,162.97

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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.