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Finding the Third Proportional to 252,046 and 545,468

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Solution

The third proportional to 252,046 and 545,468 is: 1,180,480.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,046 : 545,468 = 545,468 : x
  2. Step 2: Convert to fraction form
    252,046/545,468 = 545,468/x
  3. Step 3: Cross multiply
    252,046x = 545,468 × 545,468
  4. Step 4: Simplify right side
    252,046x = 297,535,339,024
  5. Step 5: Solve for x
    x = 297,535,339,024/252,046
  6. Step 6: Final answer
    x = 1,180,480.31

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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.