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Finding the Third Proportional to 366,924 and 788,102

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Solution

The third proportional to 366,924 and 788,102 is: 1,692,734.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,924 : 788,102 = 788,102 : x
  2. Step 2: Convert to fraction form
    366,924/788,102 = 788,102/x
  3. Step 3: Cross multiply
    366,924x = 788,102 × 788,102
  4. Step 4: Simplify right side
    366,924x = 621,104,762,404
  5. Step 5: Solve for x
    x = 621,104,762,404/366,924
  6. Step 6: Final answer
    x = 1,692,734.09

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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.