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Finding the Third Proportional to 446,814 and 625,022

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Solution

The third proportional to 446,814 and 625,022 is: 874,306.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,814 : 625,022 = 625,022 : x
  2. Step 2: Convert to fraction form
    446,814/625,022 = 625,022/x
  3. Step 3: Cross multiply
    446,814x = 625,022 × 625,022
  4. Step 4: Simplify right side
    446,814x = 390,652,500,484
  5. Step 5: Solve for x
    x = 390,652,500,484/446,814
  6. Step 6: Final answer
    x = 874,306.76

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.