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Finding the Third Proportional to 362,478 and 533,025

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Solution

The third proportional to 362,478 and 533,025 is: 783,814.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,478 : 533,025 = 533,025 : x
  2. Step 2: Convert to fraction form
    362,478/533,025 = 533,025/x
  3. Step 3: Cross multiply
    362,478x = 533,025 × 533,025
  4. Step 4: Simplify right side
    362,478x = 284,115,650,625
  5. Step 5: Solve for x
    x = 284,115,650,625/362,478
  6. Step 6: Final answer
    x = 783,814.88

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.