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Finding the Third Proportional to 609,512.50 and 912,061.50

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Solution

The third proportional to 609,512.50 and 912,061.50 is: 1,364,789.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,512.50 : 912,061.50 = 912,061.50 : x
  2. Step 2: Convert to fraction form
    609,512.50/912,061.50 = 912,061.50/x
  3. Step 3: Cross multiply
    609,512.50x = 912,061.50 × 912,061.50
  4. Step 4: Simplify right side
    609,512.50x = 831,856,179,782.25
  5. Step 5: Solve for x
    x = 831,856,179,782.25/609,512.50
  6. Step 6: Final answer
    x = 1,364,789.37

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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.