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Finding the Third Proportional to 576,581.63 and 1,261,767.38

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Solution

The third proportional to 576,581.63 and 1,261,767.38 is: 2,761,199.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,581.63 : 1,261,767.38 = 1,261,767.38 : x
  2. Step 2: Convert to fraction form
    576,581.63/1,261,767.38 = 1,261,767.38/x
  3. Step 3: Cross multiply
    576,581.63x = 1,261,767.38 × 1,261,767.38
  4. Step 4: Simplify right side
    576,581.63x = 1,592,056,908,614.39
  5. Step 5: Solve for x
    x = 1,592,056,908,614.39/576,581.63
  6. Step 6: Final answer
    x = 2,761,199.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.