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Finding the Third Proportional to 252,668 and 552,813

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Solution

The third proportional to 252,668 and 552,813 is: 1,209,501.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,668 : 552,813 = 552,813 : x
  2. Step 2: Convert to fraction form
    252,668/552,813 = 552,813/x
  3. Step 3: Cross multiply
    252,668x = 552,813 × 552,813
  4. Step 4: Simplify right side
    252,668x = 305,602,212,969
  5. Step 5: Solve for x
    x = 305,602,212,969/252,668
  6. Step 6: Final answer
    x = 1,209,501.06

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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.