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Finding the Third Proportional to 350,944 and 524,073

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Solution

The third proportional to 350,944 and 524,073 is: 782,610.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,944 : 524,073 = 524,073 : x
  2. Step 2: Convert to fraction form
    350,944/524,073 = 524,073/x
  3. Step 3: Cross multiply
    350,944x = 524,073 × 524,073
  4. Step 4: Simplify right side
    350,944x = 274,652,509,329
  5. Step 5: Solve for x
    x = 274,652,509,329/350,944
  6. Step 6: Final answer
    x = 782,610.64

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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.