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Finding the Third Proportional to 252,484 and 544,334

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Solution

The third proportional to 252,484 and 544,334 is: 1,173,537.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,484 : 544,334 = 544,334 : x
  2. Step 2: Convert to fraction form
    252,484/544,334 = 544,334/x
  3. Step 3: Cross multiply
    252,484x = 544,334 × 544,334
  4. Step 4: Simplify right side
    252,484x = 296,299,503,556
  5. Step 5: Solve for x
    x = 296,299,503,556/252,484
  6. Step 6: Final answer
    x = 1,173,537.74

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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.