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Finding the Third Proportional to 466,799 and 704,484

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Solution

The third proportional to 466,799 and 704,484 is: 1,063,193.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,799 : 704,484 = 704,484 : x
  2. Step 2: Convert to fraction form
    466,799/704,484 = 704,484/x
  3. Step 3: Cross multiply
    466,799x = 704,484 × 704,484
  4. Step 4: Simplify right side
    466,799x = 496,297,706,256
  5. Step 5: Solve for x
    x = 496,297,706,256/466,799
  6. Step 6: Final answer
    x = 1,063,193.59

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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.