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Finding the Third Proportional to 501,733.50 and 715,229.50

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Solution

The third proportional to 501,733.50 and 715,229.50 is: 1,019,571.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,733.50 : 715,229.50 = 715,229.50 : x
  2. Step 2: Convert to fraction form
    501,733.50/715,229.50 = 715,229.50/x
  3. Step 3: Cross multiply
    501,733.50x = 715,229.50 × 715,229.50
  4. Step 4: Simplify right side
    501,733.50x = 511,553,237,670.25
  5. Step 5: Solve for x
    x = 511,553,237,670.25/501,733.50
  6. Step 6: Final answer
    x = 1,019,571.62

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.