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Finding the Third Proportional to 413,619 and 569,577

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Solution

The third proportional to 413,619 and 569,577 is: 784,340.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,619 : 569,577 = 569,577 : x
  2. Step 2: Convert to fraction form
    413,619/569,577 = 569,577/x
  3. Step 3: Cross multiply
    413,619x = 569,577 × 569,577
  4. Step 4: Simplify right side
    413,619x = 324,417,958,929
  5. Step 5: Solve for x
    x = 324,417,958,929/413,619
  6. Step 6: Final answer
    x = 784,340.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.