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Finding the Third Proportional to 366,916 and 788,076

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Solution

The third proportional to 366,916 and 788,076 is: 1,692,659.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,916 : 788,076 = 788,076 : x
  2. Step 2: Convert to fraction form
    366,916/788,076 = 788,076/x
  3. Step 3: Cross multiply
    366,916x = 788,076 × 788,076
  4. Step 4: Simplify right side
    366,916x = 621,063,781,776
  5. Step 5: Solve for x
    x = 621,063,781,776/366,916
  6. Step 6: Final answer
    x = 1,692,659.31

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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.