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Finding the Third Proportional to 455,569 and 697,150

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Solution

The third proportional to 455,569 and 697,150 is: 1,066,837.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,569 : 697,150 = 697,150 : x
  2. Step 2: Convert to fraction form
    455,569/697,150 = 697,150/x
  3. Step 3: Cross multiply
    455,569x = 697,150 × 697,150
  4. Step 4: Simplify right side
    455,569x = 486,018,122,500
  5. Step 5: Solve for x
    x = 486,018,122,500/455,569
  6. Step 6: Final answer
    x = 1,066,837.56

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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.