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Finding the Third Proportional to 338,594.77 and 705,214.69

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Solution

The third proportional to 338,594.77 and 705,214.69 is: 1,468,799.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,594.77 : 705,214.69 = 705,214.69 : x
  2. Step 2: Convert to fraction form
    338,594.77/705,214.69 = 705,214.69/x
  3. Step 3: Cross multiply
    338,594.77x = 705,214.69 × 705,214.69
  4. Step 4: Simplify right side
    338,594.77x = 497,327,755,465.72
  5. Step 5: Solve for x
    x = 497,327,755,465.72/338,594.77
  6. Step 6: Final answer
    x = 1,468,799.30

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.