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Finding the Third Proportional to 371,568 and 569,344

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Solution

The third proportional to 371,568 and 569,344 is: 872,391.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,568 : 569,344 = 569,344 : x
  2. Step 2: Convert to fraction form
    371,568/569,344 = 569,344/x
  3. Step 3: Cross multiply
    371,568x = 569,344 × 569,344
  4. Step 4: Simplify right side
    371,568x = 324,152,590,336
  5. Step 5: Solve for x
    x = 324,152,590,336/371,568
  6. Step 6: Final answer
    x = 872,391.03

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.