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Finding the Third Proportional to 375,291 and 553,005

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Solution

The third proportional to 375,291 and 553,005 is: 814,873.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,291 : 553,005 = 553,005 : x
  2. Step 2: Convert to fraction form
    375,291/553,005 = 553,005/x
  3. Step 3: Cross multiply
    375,291x = 553,005 × 553,005
  4. Step 4: Simplify right side
    375,291x = 305,814,530,025
  5. Step 5: Solve for x
    x = 305,814,530,025/375,291
  6. Step 6: Final answer
    x = 814,873.07

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.