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Finding the Third Proportional to 454,598 and 695,739

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Solution

The third proportional to 454,598 and 695,739 is: 1,064,792.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,598 : 695,739 = 695,739 : x
  2. Step 2: Convert to fraction form
    454,598/695,739 = 695,739/x
  3. Step 3: Cross multiply
    454,598x = 695,739 × 695,739
  4. Step 4: Simplify right side
    454,598x = 484,052,756,121
  5. Step 5: Solve for x
    x = 484,052,756,121/454,598
  6. Step 6: Final answer
    x = 1,064,792.97

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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.