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Finding the Third Proportional to 454,586 and 695,721

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Solution

The third proportional to 454,586 and 695,721 is: 1,064,765.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,586 : 695,721 = 695,721 : x
  2. Step 2: Convert to fraction form
    454,586/695,721 = 695,721/x
  3. Step 3: Cross multiply
    454,586x = 695,721 × 695,721
  4. Step 4: Simplify right side
    454,586x = 484,027,709,841
  5. Step 5: Solve for x
    x = 484,027,709,841/454,586
  6. Step 6: Final answer
    x = 1,064,765.98

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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.