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Finding the Third Proportional to 252,462 and 544,288

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Solution

The third proportional to 252,462 and 544,288 is: 1,173,441.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,462 : 544,288 = 544,288 : x
  2. Step 2: Convert to fraction form
    252,462/544,288 = 544,288/x
  3. Step 3: Cross multiply
    252,462x = 544,288 × 544,288
  4. Step 4: Simplify right side
    252,462x = 296,249,426,944
  5. Step 5: Solve for x
    x = 296,249,426,944/252,462
  6. Step 6: Final answer
    x = 1,173,441.65

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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.