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Finding the Third Proportional to 350,976 and 565,224

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Solution

The third proportional to 350,976 and 565,224 is: 910,256.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,976 : 565,224 = 565,224 : x
  2. Step 2: Convert to fraction form
    350,976/565,224 = 565,224/x
  3. Step 3: Cross multiply
    350,976x = 565,224 × 565,224
  4. Step 4: Simplify right side
    350,976x = 319,478,170,176
  5. Step 5: Solve for x
    x = 319,478,170,176/350,976
  6. Step 6: Final answer
    x = 910,256.46

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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.