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Finding the Third Proportional to 354,604 and 530,656

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Solution

The third proportional to 354,604 and 530,656 is: 794,113.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,604 : 530,656 = 530,656 : x
  2. Step 2: Convert to fraction form
    354,604/530,656 = 530,656/x
  3. Step 3: Cross multiply
    354,604x = 530,656 × 530,656
  4. Step 4: Simplify right side
    354,604x = 281,595,790,336
  5. Step 5: Solve for x
    x = 281,595,790,336/354,604
  6. Step 6: Final answer
    x = 794,113.41

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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.