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Finding the Third Proportional to 367,659 and 506,287

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Solution

The third proportional to 367,659 and 506,287 is: 697,185.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,659 : 506,287 = 506,287 : x
  2. Step 2: Convert to fraction form
    367,659/506,287 = 506,287/x
  3. Step 3: Cross multiply
    367,659x = 506,287 × 506,287
  4. Step 4: Simplify right side
    367,659x = 256,326,526,369
  5. Step 5: Solve for x
    x = 256,326,526,369/367,659
  6. Step 6: Final answer
    x = 697,185.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.