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Finding the Third Proportional to 372,982.50 and 572,355

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Solution

The third proportional to 372,982.50 and 572,355 is: 878,299.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,982.50 : 572,355 = 572,355 : x
  2. Step 2: Convert to fraction form
    372,982.50/572,355 = 572,355/x
  3. Step 3: Cross multiply
    372,982.50x = 572,355 × 572,355
  4. Step 4: Simplify right side
    372,982.50x = 327,590,246,025
  5. Step 5: Solve for x
    x = 327,590,246,025/372,982.50
  6. Step 6: Final answer
    x = 878,299.24

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.