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Finding the Third Proportional to 503,684 and 760,378

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Solution

The third proportional to 503,684 and 760,378 is: 1,147,891.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,684 : 760,378 = 760,378 : x
  2. Step 2: Convert to fraction form
    503,684/760,378 = 760,378/x
  3. Step 3: Cross multiply
    503,684x = 760,378 × 760,378
  4. Step 4: Simplify right side
    503,684x = 578,174,702,884
  5. Step 5: Solve for x
    x = 578,174,702,884/503,684
  6. Step 6: Final answer
    x = 1,147,891.74

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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.