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Finding the Third Proportional to 366,911 and 767,113

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Solution

The third proportional to 366,911 and 767,113 is: 1,603,828.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,911 : 767,113 = 767,113 : x
  2. Step 2: Convert to fraction form
    366,911/767,113 = 767,113/x
  3. Step 3: Cross multiply
    366,911x = 767,113 × 767,113
  4. Step 4: Simplify right side
    366,911x = 588,462,354,769
  5. Step 5: Solve for x
    x = 588,462,354,769/366,911
  6. Step 6: Final answer
    x = 1,603,828.60

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.