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Finding the Third Proportional to 338,595.75 and 705,215.75

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Solution

The third proportional to 338,595.75 and 705,215.75 is: 1,468,799.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,595.75 : 705,215.75 = 705,215.75 : x
  2. Step 2: Convert to fraction form
    338,595.75/705,215.75 = 705,215.75/x
  3. Step 3: Cross multiply
    338,595.75x = 705,215.75 × 705,215.75
  4. Step 4: Simplify right side
    338,595.75x = 497,329,254,048.06
  5. Step 5: Solve for x
    x = 497,329,254,048.06/338,595.75
  6. Step 6: Final answer
    x = 1,468,799.46

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