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Finding the Third Proportional to 367,010 and 778,124

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Solution

The third proportional to 367,010 and 778,124 is: 1,649,756.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,010 : 778,124 = 778,124 : x
  2. Step 2: Convert to fraction form
    367,010/778,124 = 778,124/x
  3. Step 3: Cross multiply
    367,010x = 778,124 × 778,124
  4. Step 4: Simplify right side
    367,010x = 605,476,959,376
  5. Step 5: Solve for x
    x = 605,476,959,376/367,010
  6. Step 6: Final answer
    x = 1,649,756.03

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.