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Finding the Third Proportional to 503,953.50 and 726,121.50

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Solution

The third proportional to 503,953.50 and 726,121.50 is: 1,046,232.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,953.50 : 726,121.50 = 726,121.50 : x
  2. Step 2: Convert to fraction form
    503,953.50/726,121.50 = 726,121.50/x
  3. Step 3: Cross multiply
    503,953.50x = 726,121.50 × 726,121.50
  4. Step 4: Simplify right side
    503,953.50x = 527,252,432,762.25
  5. Step 5: Solve for x
    x = 527,252,432,762.25/503,953.50
  6. Step 6: Final answer
    x = 1,046,232.31

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.