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Finding the Third Proportional to 252,685 and 552,844

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Solution

The third proportional to 252,685 and 552,844 is: 1,209,555.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,685 : 552,844 = 552,844 : x
  2. Step 2: Convert to fraction form
    252,685/552,844 = 552,844/x
  3. Step 3: Cross multiply
    252,685x = 552,844 × 552,844
  4. Step 4: Simplify right side
    252,685x = 305,636,488,336
  5. Step 5: Solve for x
    x = 305,636,488,336/252,685
  6. Step 6: Final answer
    x = 1,209,555.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.