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Finding the Third Proportional to 352,323 and 530,188.50

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Solution

The third proportional to 352,323 and 530,188.50 is: 797,846.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,323 : 530,188.50 = 530,188.50 : x
  2. Step 2: Convert to fraction form
    352,323/530,188.50 = 530,188.50/x
  3. Step 3: Cross multiply
    352,323x = 530,188.50 × 530,188.50
  4. Step 4: Simplify right side
    352,323x = 281,099,845,532.25
  5. Step 5: Solve for x
    x = 281,099,845,532.25/352,323
  6. Step 6: Final answer
    x = 797,846.99

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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.