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Finding the Third Proportional to 412,766 and 963,316

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Solution

The third proportional to 412,766 and 963,316 is: 2,248,193.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,766 : 963,316 = 963,316 : x
  2. Step 2: Convert to fraction form
    412,766/963,316 = 963,316/x
  3. Step 3: Cross multiply
    412,766x = 963,316 × 963,316
  4. Step 4: Simplify right side
    412,766x = 927,977,715,856
  5. Step 5: Solve for x
    x = 927,977,715,856/412,766
  6. Step 6: Final answer
    x = 2,248,193.20

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.