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Finding the Third Proportional to 253,440 and 544,320

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Solution

The third proportional to 253,440 and 544,320 is: 1,169,050.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,440 : 544,320 = 544,320 : x
  2. Step 2: Convert to fraction form
    253,440/544,320 = 544,320/x
  3. Step 3: Cross multiply
    253,440x = 544,320 × 544,320
  4. Step 4: Simplify right side
    253,440x = 296,284,262,400
  5. Step 5: Solve for x
    x = 296,284,262,400/253,440
  6. Step 6: Final answer
    x = 1,169,050.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.