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Finding the Third Proportional to 503,696 and 760,395

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Solution

The third proportional to 503,696 and 760,395 is: 1,147,915.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,696 : 760,395 = 760,395 : x
  2. Step 2: Convert to fraction form
    503,696/760,395 = 760,395/x
  3. Step 3: Cross multiply
    503,696x = 760,395 × 760,395
  4. Step 4: Simplify right side
    503,696x = 578,200,556,025
  5. Step 5: Solve for x
    x = 578,200,556,025/503,696
  6. Step 6: Final answer
    x = 1,147,915.72

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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.