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Finding the Third Proportional to 354,038 and 533,996

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Solution

The third proportional to 354,038 and 533,996 is: 805,426.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,038 : 533,996 = 533,996 : x
  2. Step 2: Convert to fraction form
    354,038/533,996 = 533,996/x
  3. Step 3: Cross multiply
    354,038x = 533,996 × 533,996
  4. Step 4: Simplify right side
    354,038x = 285,151,728,016
  5. Step 5: Solve for x
    x = 285,151,728,016/354,038
  6. Step 6: Final answer
    x = 805,426.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.