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Finding the Third Proportional to 292,754.25 and 677,685.23

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Solution

The third proportional to 292,754.25 and 677,685.23 is: 1,568,746.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,754.25 : 677,685.23 = 677,685.23 : x
  2. Step 2: Convert to fraction form
    292,754.25/677,685.23 = 677,685.23/x
  3. Step 3: Cross multiply
    292,754.25x = 677,685.23 × 677,685.23
  4. Step 4: Simplify right side
    292,754.25x = 459,257,276,889.90
  5. Step 5: Solve for x
    x = 459,257,276,889.90/292,754.25
  6. Step 6: Final answer
    x = 1,568,746.75

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.