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Finding the Third Proportional to 503,716 and 760,422

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Solution

The third proportional to 503,716 and 760,422 is: 1,147,951.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,716 : 760,422 = 760,422 : x
  2. Step 2: Convert to fraction form
    503,716/760,422 = 760,422/x
  3. Step 3: Cross multiply
    503,716x = 760,422 × 760,422
  4. Step 4: Simplify right side
    503,716x = 578,241,618,084
  5. Step 5: Solve for x
    x = 578,241,618,084/503,716
  6. Step 6: Final answer
    x = 1,147,951.66

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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.