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Finding the Third Proportional to 355,576 and 532,820

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Solution

The third proportional to 355,576 and 532,820 is: 798,414.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,576 : 532,820 = 532,820 : x
  2. Step 2: Convert to fraction form
    355,576/532,820 = 532,820/x
  3. Step 3: Cross multiply
    355,576x = 532,820 × 532,820
  4. Step 4: Simplify right side
    355,576x = 283,897,152,400
  5. Step 5: Solve for x
    x = 283,897,152,400/355,576
  6. Step 6: Final answer
    x = 798,414.83

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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.