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Finding the Third Proportional to 215,716.50 and 470,368.50

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Solution

The third proportional to 215,716.50 and 470,368.50 is: 1,025,635.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,716.50 : 470,368.50 = 470,368.50 : x
  2. Step 2: Convert to fraction form
    215,716.50/470,368.50 = 470,368.50/x
  3. Step 3: Cross multiply
    215,716.50x = 470,368.50 × 470,368.50
  4. Step 4: Simplify right side
    215,716.50x = 221,246,525,792.25
  5. Step 5: Solve for x
    x = 221,246,525,792.25/215,716.50
  6. Step 6: Final answer
    x = 1,025,635.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.