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Finding the Third Proportional to 368,802 and 569,579

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Solution

The third proportional to 368,802 and 569,579 is: 879,659.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,802 : 569,579 = 569,579 : x
  2. Step 2: Convert to fraction form
    368,802/569,579 = 569,579/x
  3. Step 3: Cross multiply
    368,802x = 569,579 × 569,579
  4. Step 4: Simplify right side
    368,802x = 324,420,237,241
  5. Step 5: Solve for x
    x = 324,420,237,241/368,802
  6. Step 6: Final answer
    x = 879,659.65

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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.