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Finding the Third Proportional to 303,356 and 666,332

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Solution

The third proportional to 303,356 and 666,332 is: 1,463,621.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,356 : 666,332 = 666,332 : x
  2. Step 2: Convert to fraction form
    303,356/666,332 = 666,332/x
  3. Step 3: Cross multiply
    303,356x = 666,332 × 666,332
  4. Step 4: Simplify right side
    303,356x = 443,998,334,224
  5. Step 5: Solve for x
    x = 443,998,334,224/303,356
  6. Step 6: Final answer
    x = 1,463,621.40

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.