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Finding the Third Proportional to 338,797.69 and 496,886.06

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Solution

The third proportional to 338,797.69 and 496,886.06 is: 728,740.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,797.69 : 496,886.06 = 496,886.06 : x
  2. Step 2: Convert to fraction form
    338,797.69/496,886.06 = 496,886.06/x
  3. Step 3: Cross multiply
    338,797.69x = 496,886.06 × 496,886.06
  4. Step 4: Simplify right side
    338,797.69x = 246,895,759,106.75
  5. Step 5: Solve for x
    x = 246,895,759,106.75/338,797.69
  6. Step 6: Final answer
    x = 728,740.98

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.