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Finding the Third Proportional to 242,308 and 565,990

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Solution

The third proportional to 242,308 and 565,990 is: 1,322,055.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,308 : 565,990 = 565,990 : x
  2. Step 2: Convert to fraction form
    242,308/565,990 = 565,990/x
  3. Step 3: Cross multiply
    242,308x = 565,990 × 565,990
  4. Step 4: Simplify right side
    242,308x = 320,344,680,100
  5. Step 5: Solve for x
    x = 320,344,680,100/242,308
  6. Step 6: Final answer
    x = 1,322,055.73

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.