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Finding the Third Proportional to 216,923.06 and 470,341.69

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Solution

The third proportional to 216,923.06 and 470,341.69 is: 1,019,814.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,923.06 : 470,341.69 = 470,341.69 : x
  2. Step 2: Convert to fraction form
    216,923.06/470,341.69 = 470,341.69/x
  3. Step 3: Cross multiply
    216,923.06x = 470,341.69 × 470,341.69
  4. Step 4: Simplify right side
    216,923.06x = 221,221,303,000.35
  5. Step 5: Solve for x
    x = 221,221,303,000.35/216,923.06
  6. Step 6: Final answer
    x = 1,019,814.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.