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Finding the Third Proportional to 253,231 and 540,360

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Solution

The third proportional to 253,231 and 540,360 is: 1,153,053.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,231 : 540,360 = 540,360 : x
  2. Step 2: Convert to fraction form
    253,231/540,360 = 540,360/x
  3. Step 3: Cross multiply
    253,231x = 540,360 × 540,360
  4. Step 4: Simplify right side
    253,231x = 291,988,929,600
  5. Step 5: Solve for x
    x = 291,988,929,600/253,231
  6. Step 6: Final answer
    x = 1,153,053.65

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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.