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Finding the Third Proportional to 466,698 and 704,323

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Solution

The third proportional to 466,698 and 704,323 is: 1,062,937.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,698 : 704,323 = 704,323 : x
  2. Step 2: Convert to fraction form
    466,698/704,323 = 704,323/x
  3. Step 3: Cross multiply
    466,698x = 704,323 × 704,323
  4. Step 4: Simplify right side
    466,698x = 496,070,888,329
  5. Step 5: Solve for x
    x = 496,070,888,329/466,698
  6. Step 6: Final answer
    x = 1,062,937.68

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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.