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Finding the Third Proportional to 609,342.75 and 942,999.75

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Solution

The third proportional to 609,342.75 and 942,999.75 is: 1,459,356.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,342.75 : 942,999.75 = 942,999.75 : x
  2. Step 2: Convert to fraction form
    609,342.75/942,999.75 = 942,999.75/x
  3. Step 3: Cross multiply
    609,342.75x = 942,999.75 × 942,999.75
  4. Step 4: Simplify right side
    609,342.75x = 889,248,528,500.06
  5. Step 5: Solve for x
    x = 889,248,528,500.06/609,342.75
  6. Step 6: Final answer
    x = 1,459,356.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.