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Finding the Third Proportional to 576,138.75 and 829,947

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Solution

The third proportional to 576,138.75 and 829,947 is: 1,195,566.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,138.75 : 829,947 = 829,947 : x
  2. Step 2: Convert to fraction form
    576,138.75/829,947 = 829,947/x
  3. Step 3: Cross multiply
    576,138.75x = 829,947 × 829,947
  4. Step 4: Simplify right side
    576,138.75x = 688,812,022,809
  5. Step 5: Solve for x
    x = 688,812,022,809/576,138.75
  6. Step 6: Final answer
    x = 1,195,566.21

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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.