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Finding the Third Proportional to 255,445 and 547,589

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Solution

The third proportional to 255,445 and 547,589 is: 1,173,848.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,445 : 547,589 = 547,589 : x
  2. Step 2: Convert to fraction form
    255,445/547,589 = 547,589/x
  3. Step 3: Cross multiply
    255,445x = 547,589 × 547,589
  4. Step 4: Simplify right side
    255,445x = 299,853,712,921
  5. Step 5: Solve for x
    x = 299,853,712,921/255,445
  6. Step 6: Final answer
    x = 1,173,848.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.