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Finding the Third Proportional to 450,593 and 697,458

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Solution

The third proportional to 450,593 and 697,458 is: 1,079,572.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,593 : 697,458 = 697,458 : x
  2. Step 2: Convert to fraction form
    450,593/697,458 = 697,458/x
  3. Step 3: Cross multiply
    450,593x = 697,458 × 697,458
  4. Step 4: Simplify right side
    450,593x = 486,447,661,764
  5. Step 5: Solve for x
    x = 486,447,661,764/450,593
  6. Step 6: Final answer
    x = 1,079,572.17

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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.