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Finding the Third Proportional to 219,789 and 466,555.50

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Solution

The third proportional to 219,789 and 466,555.50 is: 990,377.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,789 : 466,555.50 = 466,555.50 : x
  2. Step 2: Convert to fraction form
    219,789/466,555.50 = 466,555.50/x
  3. Step 3: Cross multiply
    219,789x = 466,555.50 × 466,555.50
  4. Step 4: Simplify right side
    219,789x = 217,674,034,580.25
  5. Step 5: Solve for x
    x = 217,674,034,580.25/219,789
  6. Step 6: Final answer
    x = 990,377.29

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.