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Finding the Third Proportional to 363,121 and 776,272

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Solution

The third proportional to 363,121 and 776,272 is: 1,659,497.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,121 : 776,272 = 776,272 : x
  2. Step 2: Convert to fraction form
    363,121/776,272 = 776,272/x
  3. Step 3: Cross multiply
    363,121x = 776,272 × 776,272
  4. Step 4: Simplify right side
    363,121x = 602,598,217,984
  5. Step 5: Solve for x
    x = 602,598,217,984/363,121
  6. Step 6: Final answer
    x = 1,659,497.02

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.