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Finding the Third Proportional to 364,241 and 551,444

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Solution

The third proportional to 364,241 and 551,444 is: 834,860.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,241 : 551,444 = 551,444 : x
  2. Step 2: Convert to fraction form
    364,241/551,444 = 551,444/x
  3. Step 3: Cross multiply
    364,241x = 551,444 × 551,444
  4. Step 4: Simplify right side
    364,241x = 304,090,485,136
  5. Step 5: Solve for x
    x = 304,090,485,136/364,241
  6. Step 6: Final answer
    x = 834,860.67

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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.