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Finding the Third Proportional to 355,672.50 and 533,521.50

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Solution

The third proportional to 355,672.50 and 533,521.50 is: 800,301.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,672.50 : 533,521.50 = 533,521.50 : x
  2. Step 2: Convert to fraction form
    355,672.50/533,521.50 = 533,521.50/x
  3. Step 3: Cross multiply
    355,672.50x = 533,521.50 × 533,521.50
  4. Step 4: Simplify right side
    355,672.50x = 284,645,190,962.25
  5. Step 5: Solve for x
    x = 284,645,190,962.25/355,672.50
  6. Step 6: Final answer
    x = 800,301.38

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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.