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Finding the Third Proportional to 350,944 and 565,170

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Solution

The third proportional to 350,944 and 565,170 is: 910,165.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,944 : 565,170 = 565,170 : x
  2. Step 2: Convert to fraction form
    350,944/565,170 = 565,170/x
  3. Step 3: Cross multiply
    350,944x = 565,170 × 565,170
  4. Step 4: Simplify right side
    350,944x = 319,417,128,900
  5. Step 5: Solve for x
    x = 319,417,128,900/350,944
  6. Step 6: Final answer
    x = 910,165.52

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.