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Finding the Third Proportional to 255,424 and 547,514

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Solution

The third proportional to 255,424 and 547,514 is: 1,173,623.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,424 : 547,514 = 547,514 : x
  2. Step 2: Convert to fraction form
    255,424/547,514 = 547,514/x
  3. Step 3: Cross multiply
    255,424x = 547,514 × 547,514
  4. Step 4: Simplify right side
    255,424x = 299,771,580,196
  5. Step 5: Solve for x
    x = 299,771,580,196/255,424
  6. Step 6: Final answer
    x = 1,173,623.39

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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.