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Finding the Third Proportional to 550,991 and 834,804

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Solution

The third proportional to 550,991 and 834,804 is: 1,264,807.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,991 : 834,804 = 834,804 : x
  2. Step 2: Convert to fraction form
    550,991/834,804 = 834,804/x
  3. Step 3: Cross multiply
    550,991x = 834,804 × 834,804
  4. Step 4: Simplify right side
    550,991x = 696,897,718,416
  5. Step 5: Solve for x
    x = 696,897,718,416/550,991
  6. Step 6: Final answer
    x = 1,264,807.81

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.