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Finding the Third Proportional to 404,248 and 880,214

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Solution

The third proportional to 404,248 and 880,214 is: 1,916,587.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,248 : 880,214 = 880,214 : x
  2. Step 2: Convert to fraction form
    404,248/880,214 = 880,214/x
  3. Step 3: Cross multiply
    404,248x = 880,214 × 880,214
  4. Step 4: Simplify right side
    404,248x = 774,776,685,796
  5. Step 5: Solve for x
    x = 774,776,685,796/404,248
  6. Step 6: Final answer
    x = 1,916,587.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.