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Finding the Third Proportional to 335,386 and 506,218

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Solution

The third proportional to 335,386 and 506,218 is: 764,064.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,386 : 506,218 = 506,218 : x
  2. Step 2: Convert to fraction form
    335,386/506,218 = 506,218/x
  3. Step 3: Cross multiply
    335,386x = 506,218 × 506,218
  4. Step 4: Simplify right side
    335,386x = 256,256,663,524
  5. Step 5: Solve for x
    x = 256,256,663,524/335,386
  6. Step 6: Final answer
    x = 764,064.88

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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.