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Finding the Third Proportional to 224,807.06 and 470,397.38

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Solution

The third proportional to 224,807.06 and 470,397.38 is: 984,282.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,807.06 : 470,397.38 = 470,397.38 : x
  2. Step 2: Convert to fraction form
    224,807.06/470,397.38 = 470,397.38/x
  3. Step 3: Cross multiply
    224,807.06x = 470,397.38 × 470,397.38
  4. Step 4: Simplify right side
    224,807.06x = 221,273,690,406.89
  5. Step 5: Solve for x
    x = 221,273,690,406.89/224,807.06
  6. Step 6: Final answer
    x = 984,282.65

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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.