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Finding the Third Proportional to 237,998 and 522,004

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Solution

The third proportional to 237,998 and 522,004 is: 1,144,917.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,998 : 522,004 = 522,004 : x
  2. Step 2: Convert to fraction form
    237,998/522,004 = 522,004/x
  3. Step 3: Cross multiply
    237,998x = 522,004 × 522,004
  4. Step 4: Simplify right side
    237,998x = 272,488,176,016
  5. Step 5: Solve for x
    x = 272,488,176,016/237,998
  6. Step 6: Final answer
    x = 1,144,917.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.