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Finding the Third Proportional to 368,788 and 569,561

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Solution

The third proportional to 368,788 and 569,561 is: 879,637.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,788 : 569,561 = 569,561 : x
  2. Step 2: Convert to fraction form
    368,788/569,561 = 569,561/x
  3. Step 3: Cross multiply
    368,788x = 569,561 × 569,561
  4. Step 4: Simplify right side
    368,788x = 324,399,732,721
  5. Step 5: Solve for x
    x = 324,399,732,721/368,788
  6. Step 6: Final answer
    x = 879,637.44

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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.