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Finding the Third Proportional to 373,465 and 565,836

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Solution

The third proportional to 373,465 and 565,836 is: 857,296.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,465 : 565,836 = 565,836 : x
  2. Step 2: Convert to fraction form
    373,465/565,836 = 565,836/x
  3. Step 3: Cross multiply
    373,465x = 565,836 × 565,836
  4. Step 4: Simplify right side
    373,465x = 320,170,378,896
  5. Step 5: Solve for x
    x = 320,170,378,896/373,465
  6. Step 6: Final answer
    x = 857,296.88

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.