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Finding the Third Proportional to 350,038 and 522,823

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Solution

The third proportional to 350,038 and 522,823 is: 780,897.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,038 : 522,823 = 522,823 : x
  2. Step 2: Convert to fraction form
    350,038/522,823 = 522,823/x
  3. Step 3: Cross multiply
    350,038x = 522,823 × 522,823
  4. Step 4: Simplify right side
    350,038x = 273,343,889,329
  5. Step 5: Solve for x
    x = 273,343,889,329/350,038
  6. Step 6: Final answer
    x = 780,897.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.