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Finding the Third Proportional to 406,912 and 619,844

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Solution

The third proportional to 406,912 and 619,844 is: 944,200.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,912 : 619,844 = 619,844 : x
  2. Step 2: Convert to fraction form
    406,912/619,844 = 619,844/x
  3. Step 3: Cross multiply
    406,912x = 619,844 × 619,844
  4. Step 4: Simplify right side
    406,912x = 384,206,584,336
  5. Step 5: Solve for x
    x = 384,206,584,336/406,912
  6. Step 6: Final answer
    x = 944,200.67

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.