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Finding the Third Proportional to 335,356 and 506,186

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Solution

The third proportional to 335,356 and 506,186 is: 764,036.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,356 : 506,186 = 506,186 : x
  2. Step 2: Convert to fraction form
    335,356/506,186 = 506,186/x
  3. Step 3: Cross multiply
    335,356x = 506,186 × 506,186
  4. Step 4: Simplify right side
    335,356x = 256,224,266,596
  5. Step 5: Solve for x
    x = 256,224,266,596/335,356
  6. Step 6: Final answer
    x = 764,036.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.