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Finding the Third Proportional to 364,012 and 551,106

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Solution

The third proportional to 364,012 and 551,106 is: 834,362.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,012 : 551,106 = 551,106 : x
  2. Step 2: Convert to fraction form
    364,012/551,106 = 551,106/x
  3. Step 3: Cross multiply
    364,012x = 551,106 × 551,106
  4. Step 4: Simplify right side
    364,012x = 303,717,823,236
  5. Step 5: Solve for x
    x = 303,717,823,236/364,012
  6. Step 6: Final answer
    x = 834,362.12

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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.