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Finding the Third Proportional to 350,856 and 725,778

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Solution

The third proportional to 350,856 and 725,778 is: 1,501,338.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,856 : 725,778 = 725,778 : x
  2. Step 2: Convert to fraction form
    350,856/725,778 = 725,778/x
  3. Step 3: Cross multiply
    350,856x = 725,778 × 725,778
  4. Step 4: Simplify right side
    350,856x = 526,753,705,284
  5. Step 5: Solve for x
    x = 526,753,705,284/350,856
  6. Step 6: Final answer
    x = 1,501,338.74

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.