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Finding the Third Proportional to 241,502 and 530,578

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Solution

The third proportional to 241,502 and 530,578 is: 1,165,675.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,502 : 530,578 = 530,578 : x
  2. Step 2: Convert to fraction form
    241,502/530,578 = 530,578/x
  3. Step 3: Cross multiply
    241,502x = 530,578 × 530,578
  4. Step 4: Simplify right side
    241,502x = 281,513,014,084
  5. Step 5: Solve for x
    x = 281,513,014,084/241,502
  6. Step 6: Final answer
    x = 1,165,675.70

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.