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Finding the Third Proportional to 450,595 and 697,463

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Solution

The third proportional to 450,595 and 697,463 is: 1,079,582.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,595 : 697,463 = 697,463 : x
  2. Step 2: Convert to fraction form
    450,595/697,463 = 697,463/x
  3. Step 3: Cross multiply
    450,595x = 697,463 × 697,463
  4. Step 4: Simplify right side
    450,595x = 486,454,636,369
  5. Step 5: Solve for x
    x = 486,454,636,369/450,595
  6. Step 6: Final answer
    x = 1,079,582.85

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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.