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Finding the Third Proportional to 576,139.50 and 829,949.63

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Solution

The third proportional to 576,139.50 and 829,949.63 is: 1,195,572.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,139.50 : 829,949.63 = 829,949.63 : x
  2. Step 2: Convert to fraction form
    576,139.50/829,949.63 = 829,949.63/x
  3. Step 3: Cross multiply
    576,139.50x = 829,949.63 × 829,949.63
  4. Step 4: Simplify right side
    576,139.50x = 688,816,380,037.64
  5. Step 5: Solve for x
    x = 688,816,380,037.64/576,139.50
  6. Step 6: Final answer
    x = 1,195,572.22

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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.