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Finding the Third Proportional to 472,682 and 709,367

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Solution

The third proportional to 472,682 and 709,367 is: 1,064,566.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,682 : 709,367 = 709,367 : x
  2. Step 2: Convert to fraction form
    472,682/709,367 = 709,367/x
  3. Step 3: Cross multiply
    472,682x = 709,367 × 709,367
  4. Step 4: Simplify right side
    472,682x = 503,201,540,689
  5. Step 5: Solve for x
    x = 503,201,540,689/472,682
  6. Step 6: Final answer
    x = 1,064,566.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.