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Finding the Third Proportional to 500,226 and 754,656

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Solution

The third proportional to 500,226 and 754,656 is: 1,138,496.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,226 : 754,656 = 754,656 : x
  2. Step 2: Convert to fraction form
    500,226/754,656 = 754,656/x
  3. Step 3: Cross multiply
    500,226x = 754,656 × 754,656
  4. Step 4: Simplify right side
    500,226x = 569,505,678,336
  5. Step 5: Solve for x
    x = 569,505,678,336/500,226
  6. Step 6: Final answer
    x = 1,138,496.76

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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.