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Finding the Third Proportional to 248,765 and 530,050

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Solution

The third proportional to 248,765 and 530,050 is: 1,129,391.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,765 : 530,050 = 530,050 : x
  2. Step 2: Convert to fraction form
    248,765/530,050 = 530,050/x
  3. Step 3: Cross multiply
    248,765x = 530,050 × 530,050
  4. Step 4: Simplify right side
    248,765x = 280,953,002,500
  5. Step 5: Solve for x
    x = 280,953,002,500/248,765
  6. Step 6: Final answer
    x = 1,129,391.20

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.