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Finding the Third Proportional to 264,019.50 and 567,844

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Solution

The third proportional to 264,019.50 and 567,844 is: 1,221,299.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,019.50 : 567,844 = 567,844 : x
  2. Step 2: Convert to fraction form
    264,019.50/567,844 = 567,844/x
  3. Step 3: Cross multiply
    264,019.50x = 567,844 × 567,844
  4. Step 4: Simplify right side
    264,019.50x = 322,446,808,336
  5. Step 5: Solve for x
    x = 322,446,808,336/264,019.50
  6. Step 6: Final answer
    x = 1,221,299.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.