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Finding the Third Proportional to 368,780 and 569,548

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Solution

The third proportional to 368,780 and 569,548 is: 879,616.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,780 : 569,548 = 569,548 : x
  2. Step 2: Convert to fraction form
    368,780/569,548 = 569,548/x
  3. Step 3: Cross multiply
    368,780x = 569,548 × 569,548
  4. Step 4: Simplify right side
    368,780x = 324,384,924,304
  5. Step 5: Solve for x
    x = 324,384,924,304/368,780
  6. Step 6: Final answer
    x = 879,616.37

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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.