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Finding the Third Proportional to 338,056.03 and 688,636.69

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Solution

The third proportional to 338,056.03 and 688,636.69 is: 1,402,786.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,056.03 : 688,636.69 = 688,636.69 : x
  2. Step 2: Convert to fraction form
    338,056.03/688,636.69 = 688,636.69/x
  3. Step 3: Cross multiply
    338,056.03x = 688,636.69 × 688,636.69
  4. Step 4: Simplify right side
    338,056.03x = 474,220,487,370.97
  5. Step 5: Solve for x
    x = 474,220,487,370.97/338,056.03
  6. Step 6: Final answer
    x = 1,402,786.65

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.