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Finding the Third Proportional to 252,912 and 545,032

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Solution

The third proportional to 252,912 and 545,032 is: 1,174,558.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,912 : 545,032 = 545,032 : x
  2. Step 2: Convert to fraction form
    252,912/545,032 = 545,032/x
  3. Step 3: Cross multiply
    252,912x = 545,032 × 545,032
  4. Step 4: Simplify right side
    252,912x = 297,059,881,024
  5. Step 5: Solve for x
    x = 297,059,881,024/252,912
  6. Step 6: Final answer
    x = 1,174,558.27

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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.