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Finding the Third Proportional to 252,678 and 544,524

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Solution

The third proportional to 252,678 and 544,524 is: 1,173,455.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,678 : 544,524 = 544,524 : x
  2. Step 2: Convert to fraction form
    252,678/544,524 = 544,524/x
  3. Step 3: Cross multiply
    252,678x = 544,524 × 544,524
  4. Step 4: Simplify right side
    252,678x = 296,506,386,576
  5. Step 5: Solve for x
    x = 296,506,386,576/252,678
  6. Step 6: Final answer
    x = 1,173,455.49

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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.