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Finding the Third Proportional to 354,705.19 and 778,392.09

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Solution

The third proportional to 354,705.19 and 778,392.09 is: 1,708,162.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,705.19 : 778,392.09 = 778,392.09 : x
  2. Step 2: Convert to fraction form
    354,705.19/778,392.09 = 778,392.09/x
  3. Step 3: Cross multiply
    354,705.19x = 778,392.09 × 778,392.09
  4. Step 4: Simplify right side
    354,705.19x = 605,894,251,612.51
  5. Step 5: Solve for x
    x = 605,894,251,612.51/354,705.19
  6. Step 6: Final answer
    x = 1,708,162.93

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.