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Finding the Third Proportional to 347,787 and 528,984

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Solution

The third proportional to 347,787 and 528,984 is: 804,584.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,787 : 528,984 = 528,984 : x
  2. Step 2: Convert to fraction form
    347,787/528,984 = 528,984/x
  3. Step 3: Cross multiply
    347,787x = 528,984 × 528,984
  4. Step 4: Simplify right side
    347,787x = 279,824,072,256
  5. Step 5: Solve for x
    x = 279,824,072,256/347,787
  6. Step 6: Final answer
    x = 804,584.62

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.