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Finding the Third Proportional to 352,854 and 530,078

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Solution

The third proportional to 352,854 and 530,078 is: 796,314.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,854 : 530,078 = 530,078 : x
  2. Step 2: Convert to fraction form
    352,854/530,078 = 530,078/x
  3. Step 3: Cross multiply
    352,854x = 530,078 × 530,078
  4. Step 4: Simplify right side
    352,854x = 280,982,686,084
  5. Step 5: Solve for x
    x = 280,982,686,084/352,854
  6. Step 6: Final answer
    x = 796,314.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.