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Finding the Third Proportional to 251,448 and 542,262

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Solution

The third proportional to 251,448 and 542,262 is: 1,169,419.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,448 : 542,262 = 542,262 : x
  2. Step 2: Convert to fraction form
    251,448/542,262 = 542,262/x
  3. Step 3: Cross multiply
    251,448x = 542,262 × 542,262
  4. Step 4: Simplify right side
    251,448x = 294,048,076,644
  5. Step 5: Solve for x
    x = 294,048,076,644/251,448
  6. Step 6: Final answer
    x = 1,169,419.03

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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.