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Finding the Third Proportional to 550,610 and 833,535

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Solution

The third proportional to 550,610 and 833,535 is: 1,261,837.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,610 : 833,535 = 833,535 : x
  2. Step 2: Convert to fraction form
    550,610/833,535 = 833,535/x
  3. Step 3: Cross multiply
    550,610x = 833,535 × 833,535
  4. Step 4: Simplify right side
    550,610x = 694,780,596,225
  5. Step 5: Solve for x
    x = 694,780,596,225/550,610
  6. Step 6: Final answer
    x = 1,261,837.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.