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Finding the Third Proportional to 200,488 and 474,964

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Solution

The third proportional to 200,488 and 474,964 is: 1,125,208.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,488 : 474,964 = 474,964 : x
  2. Step 2: Convert to fraction form
    200,488/474,964 = 474,964/x
  3. Step 3: Cross multiply
    200,488x = 474,964 × 474,964
  4. Step 4: Simplify right side
    200,488x = 225,590,801,296
  5. Step 5: Solve for x
    x = 225,590,801,296/200,488
  6. Step 6: Final answer
    x = 1,125,208.50

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.