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Finding the Third Proportional to 353,808 and 529,416

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Solution

The third proportional to 353,808 and 529,416 is: 792,184.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,808 : 529,416 = 529,416 : x
  2. Step 2: Convert to fraction form
    353,808/529,416 = 529,416/x
  3. Step 3: Cross multiply
    353,808x = 529,416 × 529,416
  4. Step 4: Simplify right side
    353,808x = 280,281,301,056
  5. Step 5: Solve for x
    x = 280,281,301,056/353,808
  6. Step 6: Final answer
    x = 792,184.75

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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.