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Finding the Third Proportional to 361,998 and 476,028

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Solution

The third proportional to 361,998 and 476,028 is: 625,977.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,998 : 476,028 = 476,028 : x
  2. Step 2: Convert to fraction form
    361,998/476,028 = 476,028/x
  3. Step 3: Cross multiply
    361,998x = 476,028 × 476,028
  4. Step 4: Simplify right side
    361,998x = 226,602,656,784
  5. Step 5: Solve for x
    x = 226,602,656,784/361,998
  6. Step 6: Final answer
    x = 625,977.65

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.