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Finding the Third Proportional to 355,664 and 533,505

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Solution

The third proportional to 355,664 and 533,505 is: 800,271.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,664 : 533,505 = 533,505 : x
  2. Step 2: Convert to fraction form
    355,664/533,505 = 533,505/x
  3. Step 3: Cross multiply
    355,664x = 533,505 × 533,505
  4. Step 4: Simplify right side
    355,664x = 284,627,585,025
  5. Step 5: Solve for x
    x = 284,627,585,025/355,664
  6. Step 6: Final answer
    x = 800,271.00

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