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Finding the Third Proportional to 233,782 and 507,415

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Solution

The third proportional to 233,782 and 507,415 is: 1,101,325.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,782 : 507,415 = 507,415 : x
  2. Step 2: Convert to fraction form
    233,782/507,415 = 507,415/x
  3. Step 3: Cross multiply
    233,782x = 507,415 × 507,415
  4. Step 4: Simplify right side
    233,782x = 257,469,982,225
  5. Step 5: Solve for x
    x = 257,469,982,225/233,782
  6. Step 6: Final answer
    x = 1,101,325.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.