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Finding the Third Proportional to 466,914 and 704,657

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Solution

The third proportional to 466,914 and 704,657 is: 1,063,453.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,914 : 704,657 = 704,657 : x
  2. Step 2: Convert to fraction form
    466,914/704,657 = 704,657/x
  3. Step 3: Cross multiply
    466,914x = 704,657 × 704,657
  4. Step 4: Simplify right side
    466,914x = 496,541,487,649
  5. Step 5: Solve for x
    x = 496,541,487,649/466,914
  6. Step 6: Final answer
    x = 1,063,453.84

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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.