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Finding the Third Proportional to 224,818 and 470,407

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Solution

The third proportional to 224,818 and 470,407 is: 984,275.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,818 : 470,407 = 470,407 : x
  2. Step 2: Convert to fraction form
    224,818/470,407 = 470,407/x
  3. Step 3: Cross multiply
    224,818x = 470,407 × 470,407
  4. Step 4: Simplify right side
    224,818x = 221,282,745,649
  5. Step 5: Solve for x
    x = 221,282,745,649/224,818
  6. Step 6: Final answer
    x = 984,275.04

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.