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Finding the Third Proportional to 402,878.81 and 628,838.44

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Solution

The third proportional to 402,878.81 and 628,838.44 is: 981,530.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,878.81 : 628,838.44 = 628,838.44 : x
  2. Step 2: Convert to fraction form
    402,878.81/628,838.44 = 628,838.44/x
  3. Step 3: Cross multiply
    402,878.81x = 628,838.44 × 628,838.44
  4. Step 4: Simplify right side
    402,878.81x = 395,437,780,477.44
  5. Step 5: Solve for x
    x = 395,437,780,477.44/402,878.81
  6. Step 6: Final answer
    x = 981,530.35

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.