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Finding the Third Proportional to 366,471 and 788,346

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Solution

The third proportional to 366,471 and 788,346 is: 1,695,876.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,471 : 788,346 = 788,346 : x
  2. Step 2: Convert to fraction form
    366,471/788,346 = 788,346/x
  3. Step 3: Cross multiply
    366,471x = 788,346 × 788,346
  4. Step 4: Simplify right side
    366,471x = 621,489,415,716
  5. Step 5: Solve for x
    x = 621,489,415,716/366,471
  6. Step 6: Final answer
    x = 1,695,876.11

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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.