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Finding the Third Proportional to 368,838 and 569,628

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Solution

The third proportional to 368,838 and 569,628 is: 879,725.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,838 : 569,628 = 569,628 : x
  2. Step 2: Convert to fraction form
    368,838/569,628 = 569,628/x
  3. Step 3: Cross multiply
    368,838x = 569,628 × 569,628
  4. Step 4: Simplify right side
    368,838x = 324,476,058,384
  5. Step 5: Solve for x
    x = 324,476,058,384/368,838
  6. Step 6: Final answer
    x = 879,725.13

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.