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Finding the Third Proportional to 466,690 and 704,307

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Solution

The third proportional to 466,690 and 704,307 is: 1,062,907.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,690 : 704,307 = 704,307 : x
  2. Step 2: Convert to fraction form
    466,690/704,307 = 704,307/x
  3. Step 3: Cross multiply
    466,690x = 704,307 × 704,307
  4. Step 4: Simplify right side
    466,690x = 496,048,350,249
  5. Step 5: Solve for x
    x = 496,048,350,249/466,690
  6. Step 6: Final answer
    x = 1,062,907.61

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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.