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Finding the Third Proportional to 503,803.13 and 755,389.13

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Solution

The third proportional to 503,803.13 and 755,389.13 is: 1,132,610.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,803.13 : 755,389.13 = 755,389.13 : x
  2. Step 2: Convert to fraction form
    503,803.13/755,389.13 = 755,389.13/x
  3. Step 3: Cross multiply
    503,803.13x = 755,389.13 × 755,389.13
  4. Step 4: Simplify right side
    503,803.13x = 570,612,730,168.27
  5. Step 5: Solve for x
    x = 570,612,730,168.27/503,803.13
  6. Step 6: Final answer
    x = 1,132,610.54

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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.