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Finding the Third Proportional to 369,648 and 791,778

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Solution

The third proportional to 369,648 and 791,778 is: 1,695,971.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,648 : 791,778 = 791,778 : x
  2. Step 2: Convert to fraction form
    369,648/791,778 = 791,778/x
  3. Step 3: Cross multiply
    369,648x = 791,778 × 791,778
  4. Step 4: Simplify right side
    369,648x = 626,912,401,284
  5. Step 5: Solve for x
    x = 626,912,401,284/369,648
  6. Step 6: Final answer
    x = 1,695,971.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.