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Finding the Third Proportional to 265,118.06 and 572,259.94

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Solution

The third proportional to 265,118.06 and 572,259.94 is: 1,235,228.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,118.06 : 572,259.94 = 572,259.94 : x
  2. Step 2: Convert to fraction form
    265,118.06/572,259.94 = 572,259.94/x
  3. Step 3: Cross multiply
    265,118.06x = 572,259.94 × 572,259.94
  4. Step 4: Simplify right side
    265,118.06x = 327,481,436,067.50
  5. Step 5: Solve for x
    x = 327,481,436,067.50/265,118.06
  6. Step 6: Final answer
    x = 1,235,228.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.