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Finding the Third Proportional to 554,241 and 833,823

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Solution

The third proportional to 554,241 and 833,823 is: 1,254,437.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,241 : 833,823 = 833,823 : x
  2. Step 2: Convert to fraction form
    554,241/833,823 = 833,823/x
  3. Step 3: Cross multiply
    554,241x = 833,823 × 833,823
  4. Step 4: Simplify right side
    554,241x = 695,260,795,329
  5. Step 5: Solve for x
    x = 695,260,795,329/554,241
  6. Step 6: Final answer
    x = 1,254,437.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.