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Finding the Third Proportional to 224,803.13 and 470,389.22

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Solution

The third proportional to 224,803.13 and 470,389.22 is: 984,265.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,803.13 : 470,389.22 = 470,389.22 : x
  2. Step 2: Convert to fraction form
    224,803.13/470,389.22 = 470,389.22/x
  3. Step 3: Cross multiply
    224,803.13x = 470,389.22 × 470,389.22
  4. Step 4: Simplify right side
    224,803.13x = 221,266,017,116.24
  5. Step 5: Solve for x
    x = 221,266,017,116.24/224,803.13
  6. Step 6: Final answer
    x = 984,265.75

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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.