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Finding the Third Proportional to 225,408 and 457,008

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Solution

The third proportional to 225,408 and 457,008 is: 926,570.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,408 : 457,008 = 457,008 : x
  2. Step 2: Convert to fraction form
    225,408/457,008 = 457,008/x
  3. Step 3: Cross multiply
    225,408x = 457,008 × 457,008
  4. Step 4: Simplify right side
    225,408x = 208,856,312,064
  5. Step 5: Solve for x
    x = 208,856,312,064/225,408
  6. Step 6: Final answer
    x = 926,570.10

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.