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Finding the Third Proportional to 411,998 and 868,284

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Solution

The third proportional to 411,998 and 868,284 is: 1,829,904.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,998 : 868,284 = 868,284 : x
  2. Step 2: Convert to fraction form
    411,998/868,284 = 868,284/x
  3. Step 3: Cross multiply
    411,998x = 868,284 × 868,284
  4. Step 4: Simplify right side
    411,998x = 753,917,104,656
  5. Step 5: Solve for x
    x = 753,917,104,656/411,998
  6. Step 6: Final answer
    x = 1,829,904.77

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.