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Finding the Third Proportional to 529,584.75 and 784,090.13

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Solution

The third proportional to 529,584.75 and 784,090.13 is: 1,160,904.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,584.75 : 784,090.13 = 784,090.13 : x
  2. Step 2: Convert to fraction form
    529,584.75/784,090.13 = 784,090.13/x
  3. Step 3: Cross multiply
    529,584.75x = 784,090.13 × 784,090.13
  4. Step 4: Simplify right side
    529,584.75x = 614,797,324,122.52
  5. Step 5: Solve for x
    x = 614,797,324,122.52/529,584.75
  6. Step 6: Final answer
    x = 1,160,904.51

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.