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Finding the Third Proportional to 551,658 and 843,532

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Solution

The third proportional to 551,658 and 843,532 is: 1,289,832.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,658 : 843,532 = 843,532 : x
  2. Step 2: Convert to fraction form
    551,658/843,532 = 843,532/x
  3. Step 3: Cross multiply
    551,658x = 843,532 × 843,532
  4. Step 4: Simplify right side
    551,658x = 711,546,235,024
  5. Step 5: Solve for x
    x = 711,546,235,024/551,658
  6. Step 6: Final answer
    x = 1,289,832.17

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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.