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Finding the Third Proportional to 497,932 and 715,794

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Solution

The third proportional to 497,932 and 715,794 is: 1,028,977.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,932 : 715,794 = 715,794 : x
  2. Step 2: Convert to fraction form
    497,932/715,794 = 715,794/x
  3. Step 3: Cross multiply
    497,932x = 715,794 × 715,794
  4. Step 4: Simplify right side
    497,932x = 512,361,050,436
  5. Step 5: Solve for x
    x = 512,361,050,436/497,932
  6. Step 6: Final answer
    x = 1,028,977.95

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.