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Finding the Third Proportional to 253,520 and 544,480

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Solution

The third proportional to 253,520 and 544,480 is: 1,169,369.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,520 : 544,480 = 544,480 : x
  2. Step 2: Convert to fraction form
    253,520/544,480 = 544,480/x
  3. Step 3: Cross multiply
    253,520x = 544,480 × 544,480
  4. Step 4: Simplify right side
    253,520x = 296,458,470,400
  5. Step 5: Solve for x
    x = 296,458,470,400/253,520
  6. Step 6: Final answer
    x = 1,169,369.16

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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.