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Finding the Third Proportional to 255,304 and 545,360

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Solution

The third proportional to 255,304 and 545,360 is: 1,164,954.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,304 : 545,360 = 545,360 : x
  2. Step 2: Convert to fraction form
    255,304/545,360 = 545,360/x
  3. Step 3: Cross multiply
    255,304x = 545,360 × 545,360
  4. Step 4: Simplify right side
    255,304x = 297,417,529,600
  5. Step 5: Solve for x
    x = 297,417,529,600/255,304
  6. Step 6: Final answer
    x = 1,164,954.44

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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.