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Finding the Third Proportional to 354,712.50 and 778,406.63

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Solution

The third proportional to 354,712.50 and 778,406.63 is: 1,708,191.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,712.50 : 778,406.63 = 778,406.63 : x
  2. Step 2: Convert to fraction form
    354,712.50/778,406.63 = 778,406.63/x
  3. Step 3: Cross multiply
    354,712.50x = 778,406.63 × 778,406.63
  4. Step 4: Simplify right side
    354,712.50x = 605,916,873,843.89
  5. Step 5: Solve for x
    x = 605,916,873,843.89/354,712.50
  6. Step 6: Final answer
    x = 1,708,191.49

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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.