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Finding the Third Proportional to 576,046.69 and 829,738.69

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Solution

The third proportional to 576,046.69 and 829,738.69 is: 1,195,157.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,046.69 : 829,738.69 = 829,738.69 : x
  2. Step 2: Convert to fraction form
    576,046.69/829,738.69 = 829,738.69/x
  3. Step 3: Cross multiply
    576,046.69x = 829,738.69 × 829,738.69
  4. Step 4: Simplify right side
    576,046.69x = 688,466,289,534.22
  5. Step 5: Solve for x
    x = 688,466,289,534.22/576,046.69
  6. Step 6: Final answer
    x = 1,195,157.10

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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.