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Finding the Third Proportional to 229,470 and 497,067

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Solution

The third proportional to 229,470 and 497,067 is: 1,076,722.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,470 : 497,067 = 497,067 : x
  2. Step 2: Convert to fraction form
    229,470/497,067 = 497,067/x
  3. Step 3: Cross multiply
    229,470x = 497,067 × 497,067
  4. Step 4: Simplify right side
    229,470x = 247,075,602,489
  5. Step 5: Solve for x
    x = 247,075,602,489/229,470
  6. Step 6: Final answer
    x = 1,076,722.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.