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Finding the Third Proportional to 219,330 and 466,330.50

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Solution

The third proportional to 219,330 and 466,330.50 is: 991,492.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,330 : 466,330.50 = 466,330.50 : x
  2. Step 2: Convert to fraction form
    219,330/466,330.50 = 466,330.50/x
  3. Step 3: Cross multiply
    219,330x = 466,330.50 × 466,330.50
  4. Step 4: Simplify right side
    219,330x = 217,464,135,230.25
  5. Step 5: Solve for x
    x = 217,464,135,230.25/219,330
  6. Step 6: Final answer
    x = 991,492.89

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.