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Finding the Third Proportional to 576,137.25 and 829,945.13

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Solution

The third proportional to 576,137.25 and 829,945.13 is: 1,195,563.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,137.25 : 829,945.13 = 829,945.13 : x
  2. Step 2: Convert to fraction form
    576,137.25/829,945.13 = 829,945.13/x
  3. Step 3: Cross multiply
    576,137.25x = 829,945.13 × 829,945.13
  4. Step 4: Simplify right side
    576,137.25x = 688,808,910,511.27
  5. Step 5: Solve for x
    x = 688,808,910,511.27/576,137.25
  6. Step 6: Final answer
    x = 1,195,563.92

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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.