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Finding the Third Proportional to 354,726 and 788,184

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Solution

The third proportional to 354,726 and 788,184 is: 1,751,306.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,726 : 788,184 = 788,184 : x
  2. Step 2: Convert to fraction form
    354,726/788,184 = 788,184/x
  3. Step 3: Cross multiply
    354,726x = 788,184 × 788,184
  4. Step 4: Simplify right side
    354,726x = 621,234,017,856
  5. Step 5: Solve for x
    x = 621,234,017,856/354,726
  6. Step 6: Final answer
    x = 1,751,306.69

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.