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Finding the Third Proportional to 252,916 and 545,240

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Solution

The third proportional to 252,916 and 545,240 is: 1,175,436.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,916 : 545,240 = 545,240 : x
  2. Step 2: Convert to fraction form
    252,916/545,240 = 545,240/x
  3. Step 3: Cross multiply
    252,916x = 545,240 × 545,240
  4. Step 4: Simplify right side
    252,916x = 297,286,657,600
  5. Step 5: Solve for x
    x = 297,286,657,600/252,916
  6. Step 6: Final answer
    x = 1,175,436.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.