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Finding the Third Proportional to 484,309 and 988,328

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Solution

The third proportional to 484,309 and 988,328 is: 2,016,878.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,309 : 988,328 = 988,328 : x
  2. Step 2: Convert to fraction form
    484,309/988,328 = 988,328/x
  3. Step 3: Cross multiply
    484,309x = 988,328 × 988,328
  4. Step 4: Simplify right side
    484,309x = 976,792,235,584
  5. Step 5: Solve for x
    x = 976,792,235,584/484,309
  6. Step 6: Final answer
    x = 2,016,878.14

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Why These Related Problems?

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