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Finding the Third Proportional to 352,602 and 529,677

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Solution

The third proportional to 352,602 and 529,677 is: 795,678.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,602 : 529,677 = 529,677 : x
  2. Step 2: Convert to fraction form
    352,602/529,677 = 529,677/x
  3. Step 3: Cross multiply
    352,602x = 529,677 × 529,677
  4. Step 4: Simplify right side
    352,602x = 280,557,724,329
  5. Step 5: Solve for x
    x = 280,557,724,329/352,602
  6. Step 6: Final answer
    x = 795,678.20

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Why These Related Problems?

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