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Finding the Third Proportional to 212,214.94 and 463,795.88

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Solution

The third proportional to 212,214.94 and 463,795.88 is: 1,013,626.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,214.94 : 463,795.88 = 463,795.88 : x
  2. Step 2: Convert to fraction form
    212,214.94/463,795.88 = 463,795.88/x
  3. Step 3: Cross multiply
    212,214.94x = 463,795.88 × 463,795.88
  4. Step 4: Simplify right side
    212,214.94x = 215,106,613,667.02
  5. Step 5: Solve for x
    x = 215,106,613,667.02/212,214.94
  6. Step 6: Final answer
    x = 1,013,626.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.