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Finding the Third Proportional to 466,716 and 704,350

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Solution

The third proportional to 466,716 and 704,350 is: 1,062,978.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,716 : 704,350 = 704,350 : x
  2. Step 2: Convert to fraction form
    466,716/704,350 = 704,350/x
  3. Step 3: Cross multiply
    466,716x = 704,350 × 704,350
  4. Step 4: Simplify right side
    466,716x = 496,108,922,500
  5. Step 5: Solve for x
    x = 496,108,922,500/466,716
  6. Step 6: Final answer
    x = 1,062,978.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.