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Finding the Third Proportional to 450,802 and 697,666

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Solution

The third proportional to 450,802 and 697,666 is: 1,079,715.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,802 : 697,666 = 697,666 : x
  2. Step 2: Convert to fraction form
    450,802/697,666 = 697,666/x
  3. Step 3: Cross multiply
    450,802x = 697,666 × 697,666
  4. Step 4: Simplify right side
    450,802x = 486,737,847,556
  5. Step 5: Solve for x
    x = 486,737,847,556/450,802
  6. Step 6: Final answer
    x = 1,079,715.37

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