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Finding the Third Proportional to 366,926 and 788,106

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Solution

The third proportional to 366,926 and 788,106 is: 1,692,742.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,926 : 788,106 = 788,106 : x
  2. Step 2: Convert to fraction form
    366,926/788,106 = 788,106/x
  3. Step 3: Cross multiply
    366,926x = 788,106 × 788,106
  4. Step 4: Simplify right side
    366,926x = 621,111,067,236
  5. Step 5: Solve for x
    x = 621,111,067,236/366,926
  6. Step 6: Final answer
    x = 1,692,742.04

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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.