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Finding the Third Proportional to 366,963 and 788,179

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Solution

The third proportional to 366,963 and 788,179 is: 1,692,884.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,963 : 788,179 = 788,179 : x
  2. Step 2: Convert to fraction form
    366,963/788,179 = 788,179/x
  3. Step 3: Cross multiply
    366,963x = 788,179 × 788,179
  4. Step 4: Simplify right side
    366,963x = 621,226,136,041
  5. Step 5: Solve for x
    x = 621,226,136,041/366,963
  6. Step 6: Final answer
    x = 1,692,884.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.