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Finding the Third Proportional to 300,223.13 and 470,017.69

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Solution

The third proportional to 300,223.13 and 470,017.69 is: 735,841.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,223.13 : 470,017.69 = 470,017.69 : x
  2. Step 2: Convert to fraction form
    300,223.13/470,017.69 = 470,017.69/x
  3. Step 3: Cross multiply
    300,223.13x = 470,017.69 × 470,017.69
  4. Step 4: Simplify right side
    300,223.13x = 220,916,626,562.85
  5. Step 5: Solve for x
    x = 220,916,626,562.85/300,223.13
  6. Step 6: Final answer
    x = 735,841.47

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.