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Finding the Third Proportional to 467,910 and 698,746

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Solution

The third proportional to 467,910 and 698,746 is: 1,043,461.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,910 : 698,746 = 698,746 : x
  2. Step 2: Convert to fraction form
    467,910/698,746 = 698,746/x
  3. Step 3: Cross multiply
    467,910x = 698,746 × 698,746
  4. Step 4: Simplify right side
    467,910x = 488,245,972,516
  5. Step 5: Solve for x
    x = 488,245,972,516/467,910
  6. Step 6: Final answer
    x = 1,043,461.29

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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.