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Finding the Third Proportional to 225,706.50 and 532,777.50

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Solution

The third proportional to 225,706.50 and 532,777.50 is: 1,257,614.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,706.50 : 532,777.50 = 532,777.50 : x
  2. Step 2: Convert to fraction form
    225,706.50/532,777.50 = 532,777.50/x
  3. Step 3: Cross multiply
    225,706.50x = 532,777.50 × 532,777.50
  4. Step 4: Simplify right side
    225,706.50x = 283,851,864,506.25
  5. Step 5: Solve for x
    x = 283,851,864,506.25/225,706.50
  6. Step 6: Final answer
    x = 1,257,614.93

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.