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Finding the Third Proportional to 552,870 and 833,199.75

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Solution

The third proportional to 552,870 and 833,199.75 is: 1,255,669.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,870 : 833,199.75 = 833,199.75 : x
  2. Step 2: Convert to fraction form
    552,870/833,199.75 = 833,199.75/x
  3. Step 3: Cross multiply
    552,870x = 833,199.75 × 833,199.75
  4. Step 4: Simplify right side
    552,870x = 694,221,823,400.06
  5. Step 5: Solve for x
    x = 694,221,823,400.06/552,870
  6. Step 6: Final answer
    x = 1,255,669.19

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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.