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Finding the Third Proportional to 364,041 and 569,828

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Solution

The third proportional to 364,041 and 569,828 is: 891,943.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,041 : 569,828 = 569,828 : x
  2. Step 2: Convert to fraction form
    364,041/569,828 = 569,828/x
  3. Step 3: Cross multiply
    364,041x = 569,828 × 569,828
  4. Step 4: Simplify right side
    364,041x = 324,703,949,584
  5. Step 5: Solve for x
    x = 324,703,949,584/364,041
  6. Step 6: Final answer
    x = 891,943.35

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.