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Finding the Third Proportional to 450,768 and 697,617

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Solution

The third proportional to 450,768 and 697,617 is: 1,079,645.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,768 : 697,617 = 697,617 : x
  2. Step 2: Convert to fraction form
    450,768/697,617 = 697,617/x
  3. Step 3: Cross multiply
    450,768x = 697,617 × 697,617
  4. Step 4: Simplify right side
    450,768x = 486,669,478,689
  5. Step 5: Solve for x
    x = 486,669,478,689/450,768
  6. Step 6: Final answer
    x = 1,079,645.14

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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.