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Finding the Third Proportional to 244,004 and 528,736

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Solution

The third proportional to 244,004 and 528,736 is: 1,145,726.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,004 : 528,736 = 528,736 : x
  2. Step 2: Convert to fraction form
    244,004/528,736 = 528,736/x
  3. Step 3: Cross multiply
    244,004x = 528,736 × 528,736
  4. Step 4: Simplify right side
    244,004x = 279,561,757,696
  5. Step 5: Solve for x
    x = 279,561,757,696/244,004
  6. Step 6: Final answer
    x = 1,145,726.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.