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Finding the Third Proportional to 367,004 and 778,108

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Solution

The third proportional to 367,004 and 778,108 is: 1,649,715.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,004 : 778,108 = 778,108 : x
  2. Step 2: Convert to fraction form
    367,004/778,108 = 778,108/x
  3. Step 3: Cross multiply
    367,004x = 778,108 × 778,108
  4. Step 4: Simplify right side
    367,004x = 605,452,059,664
  5. Step 5: Solve for x
    x = 605,452,059,664/367,004
  6. Step 6: Final answer
    x = 1,649,715.15

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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.