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Finding the Third Proportional to 255,264 and 545,280

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Solution

The third proportional to 255,264 and 545,280 is: 1,164,795.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,264 : 545,280 = 545,280 : x
  2. Step 2: Convert to fraction form
    255,264/545,280 = 545,280/x
  3. Step 3: Cross multiply
    255,264x = 545,280 × 545,280
  4. Step 4: Simplify right side
    255,264x = 297,330,278,400
  5. Step 5: Solve for x
    x = 297,330,278,400/255,264
  6. Step 6: Final answer
    x = 1,164,795.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.