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Finding the Third Proportional to 255,256 and 544,048

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Solution

The third proportional to 255,256 and 544,048 is: 1,159,574.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,256 : 544,048 = 544,048 : x
  2. Step 2: Convert to fraction form
    255,256/544,048 = 544,048/x
  3. Step 3: Cross multiply
    255,256x = 544,048 × 544,048
  4. Step 4: Simplify right side
    255,256x = 295,988,226,304
  5. Step 5: Solve for x
    x = 295,988,226,304/255,256
  6. Step 6: Final answer
    x = 1,159,574.02

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.