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Finding the Third Proportional to 576,709.88 and 1,264,480.88

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Solution

The third proportional to 576,709.88 and 1,264,480.88 is: 2,772,471.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,709.88 : 1,264,480.88 = 1,264,480.88 : x
  2. Step 2: Convert to fraction form
    576,709.88/1,264,480.88 = 1,264,480.88/x
  3. Step 3: Cross multiply
    576,709.88x = 1,264,480.88 × 1,264,480.88
  4. Step 4: Simplify right side
    576,709.88x = 1,598,911,883,240.77
  5. Step 5: Solve for x
    x = 1,598,911,883,240.77/576,709.88
  6. Step 6: Final answer
    x = 2,772,471.83

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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.