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Finding the Third Proportional to 349,938 and 524,788

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Solution

The third proportional to 349,938 and 524,788 is: 787,003.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,938 : 524,788 = 524,788 : x
  2. Step 2: Convert to fraction form
    349,938/524,788 = 524,788/x
  3. Step 3: Cross multiply
    349,938x = 524,788 × 524,788
  4. Step 4: Simplify right side
    349,938x = 275,402,444,944
  5. Step 5: Solve for x
    x = 275,402,444,944/349,938
  6. Step 6: Final answer
    x = 787,003.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.