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Finding the Third Proportional to 550,396 and 839,829

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Solution

The third proportional to 550,396 and 839,829 is: 1,281,464.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,396 : 839,829 = 839,829 : x
  2. Step 2: Convert to fraction form
    550,396/839,829 = 839,829/x
  3. Step 3: Cross multiply
    550,396x = 839,829 × 839,829
  4. Step 4: Simplify right side
    550,396x = 705,312,749,241
  5. Step 5: Solve for x
    x = 705,312,749,241/550,396
  6. Step 6: Final answer
    x = 1,281,464.16

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.