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Finding the Third Proportional to 253,480 and 544,396

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Solution

The third proportional to 253,480 and 544,396 is: 1,169,192.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,480 : 544,396 = 544,396 : x
  2. Step 2: Convert to fraction form
    253,480/544,396 = 544,396/x
  3. Step 3: Cross multiply
    253,480x = 544,396 × 544,396
  4. Step 4: Simplify right side
    253,480x = 296,367,004,816
  5. Step 5: Solve for x
    x = 296,367,004,816/253,480
  6. Step 6: Final answer
    x = 1,169,192.85

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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.