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Finding the Third Proportional to 454,707 and 695,868

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Solution

The third proportional to 454,707 and 695,868 is: 1,064,932.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,707 : 695,868 = 695,868 : x
  2. Step 2: Convert to fraction form
    454,707/695,868 = 695,868/x
  3. Step 3: Cross multiply
    454,707x = 695,868 × 695,868
  4. Step 4: Simplify right side
    454,707x = 484,232,273,424
  5. Step 5: Solve for x
    x = 484,232,273,424/454,707
  6. Step 6: Final answer
    x = 1,064,932.52

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.