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Finding the Third Proportional to 352,320 and 530,184

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Solution

The third proportional to 352,320 and 530,184 is: 797,840.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,320 : 530,184 = 530,184 : x
  2. Step 2: Convert to fraction form
    352,320/530,184 = 530,184/x
  3. Step 3: Cross multiply
    352,320x = 530,184 × 530,184
  4. Step 4: Simplify right side
    352,320x = 281,095,073,856
  5. Step 5: Solve for x
    x = 281,095,073,856/352,320
  6. Step 6: Final answer
    x = 797,840.24

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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.