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Finding the Third Proportional to 219,752 and 472,624

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Solution

The third proportional to 219,752 and 472,624 is: 1,016,479.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,752 : 472,624 = 472,624 : x
  2. Step 2: Convert to fraction form
    219,752/472,624 = 472,624/x
  3. Step 3: Cross multiply
    219,752x = 472,624 × 472,624
  4. Step 4: Simplify right side
    219,752x = 223,373,445,376
  5. Step 5: Solve for x
    x = 223,373,445,376/219,752
  6. Step 6: Final answer
    x = 1,016,479.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.