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Finding the Third Proportional to 252,072 and 545,520

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Solution

The third proportional to 252,072 and 545,520 is: 1,180,583.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,072 : 545,520 = 545,520 : x
  2. Step 2: Convert to fraction form
    252,072/545,520 = 545,520/x
  3. Step 3: Cross multiply
    252,072x = 545,520 × 545,520
  4. Step 4: Simplify right side
    252,072x = 297,592,070,400
  5. Step 5: Solve for x
    x = 297,592,070,400/252,072
  6. Step 6: Final answer
    x = 1,180,583.60

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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.