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Finding the Third Proportional to 224,817 and 470,416.50

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Solution

The third proportional to 224,817 and 470,416.50 is: 984,319.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,817 : 470,416.50 = 470,416.50 : x
  2. Step 2: Convert to fraction form
    224,817/470,416.50 = 470,416.50/x
  3. Step 3: Cross multiply
    224,817x = 470,416.50 × 470,416.50
  4. Step 4: Simplify right side
    224,817x = 221,291,683,472.25
  5. Step 5: Solve for x
    x = 221,291,683,472.25/224,817
  6. Step 6: Final answer
    x = 984,319.17

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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.