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Finding the Third Proportional to 466,830 and 660,608

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Solution

The third proportional to 466,830 and 660,608 is: 934,821.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,830 : 660,608 = 660,608 : x
  2. Step 2: Convert to fraction form
    466,830/660,608 = 660,608/x
  3. Step 3: Cross multiply
    466,830x = 660,608 × 660,608
  4. Step 4: Simplify right side
    466,830x = 436,402,929,664
  5. Step 5: Solve for x
    x = 436,402,929,664/466,830
  6. Step 6: Final answer
    x = 934,821.95

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.