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Finding the Third Proportional to 467,911 and 698,747

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Solution

The third proportional to 467,911 and 698,747 is: 1,043,462.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,911 : 698,747 = 698,747 : x
  2. Step 2: Convert to fraction form
    467,911/698,747 = 698,747/x
  3. Step 3: Cross multiply
    467,911x = 698,747 × 698,747
  4. Step 4: Simplify right side
    467,911x = 488,247,370,009
  5. Step 5: Solve for x
    x = 488,247,370,009/467,911
  6. Step 6: Final answer
    x = 1,043,462.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.