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Finding the Third Proportional to 252,254 and 544,329

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Solution

The third proportional to 252,254 and 544,329 is: 1,174,586.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,254 : 544,329 = 544,329 : x
  2. Step 2: Convert to fraction form
    252,254/544,329 = 544,329/x
  3. Step 3: Cross multiply
    252,254x = 544,329 × 544,329
  4. Step 4: Simplify right side
    252,254x = 296,294,060,241
  5. Step 5: Solve for x
    x = 296,294,060,241/252,254
  6. Step 6: Final answer
    x = 1,174,586.17

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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.