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Finding the Third Proportional to 466,738 and 720,834

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Solution

The third proportional to 466,738 and 720,834 is: 1,113,261.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,738 : 720,834 = 720,834 : x
  2. Step 2: Convert to fraction form
    466,738/720,834 = 720,834/x
  3. Step 3: Cross multiply
    466,738x = 720,834 × 720,834
  4. Step 4: Simplify right side
    466,738x = 519,601,655,556
  5. Step 5: Solve for x
    x = 519,601,655,556/466,738
  6. Step 6: Final answer
    x = 1,113,261.95

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.