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Finding the Third Proportional to 255,883 and 541,291

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Solution

The third proportional to 255,883 and 541,291 is: 1,145,038.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,883 : 541,291 = 541,291 : x
  2. Step 2: Convert to fraction form
    255,883/541,291 = 541,291/x
  3. Step 3: Cross multiply
    255,883x = 541,291 × 541,291
  4. Step 4: Simplify right side
    255,883x = 292,995,946,681
  5. Step 5: Solve for x
    x = 292,995,946,681/255,883
  6. Step 6: Final answer
    x = 1,145,038.74

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.