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Finding the Third Proportional to 366,963 and 767,217

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Solution

The third proportional to 366,963 and 767,217 is: 1,604,036.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,963 : 767,217 = 767,217 : x
  2. Step 2: Convert to fraction form
    366,963/767,217 = 767,217/x
  3. Step 3: Cross multiply
    366,963x = 767,217 × 767,217
  4. Step 4: Simplify right side
    366,963x = 588,621,925,089
  5. Step 5: Solve for x
    x = 588,621,925,089/366,963
  6. Step 6: Final answer
    x = 1,604,036.17

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.