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Finding the Third Proportional to 808,269.25 and 1,267,929.75

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Solution

The third proportional to 808,269.25 and 1,267,929.75 is: 1,988,997.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    808,269.25 : 1,267,929.75 = 1,267,929.75 : x
  2. Step 2: Convert to fraction form
    808,269.25/1,267,929.75 = 1,267,929.75/x
  3. Step 3: Cross multiply
    808,269.25x = 1,267,929.75 × 1,267,929.75
  4. Step 4: Simplify right side
    808,269.25x = 1,607,645,850,935.06
  5. Step 5: Solve for x
    x = 1,607,645,850,935.06/808,269.25
  6. Step 6: Final answer
    x = 1,988,997.91

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.