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Finding the Third Proportional to 454,455 and 704,648.25

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Solution

The third proportional to 454,455 and 704,648.25 is: 1,092,581.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,455 : 704,648.25 = 704,648.25 : x
  2. Step 2: Convert to fraction form
    454,455/704,648.25 = 704,648.25/x
  3. Step 3: Cross multiply
    454,455x = 704,648.25 × 704,648.25
  4. Step 4: Simplify right side
    454,455x = 496,529,156,228.06
  5. Step 5: Solve for x
    x = 496,529,156,228.06/454,455
  6. Step 6: Final answer
    x = 1,092,581.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.