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Finding the Third Proportional to 216,904.22 and 470,007.56

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Solution

The third proportional to 216,904.22 and 470,007.56 is: 1,018,454.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,904.22 : 470,007.56 = 470,007.56 : x
  2. Step 2: Convert to fraction form
    216,904.22/470,007.56 = 470,007.56/x
  3. Step 3: Cross multiply
    216,904.22x = 470,007.56 × 470,007.56
  4. Step 4: Simplify right side
    216,904.22x = 220,907,108,807.19
  5. Step 5: Solve for x
    x = 220,907,108,807.19/216,904.22
  6. Step 6: Final answer
    x = 1,018,454.64

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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.