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Finding the Third Proportional to 232,416 and 347,712

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Solution

The third proportional to 232,416 and 347,712 is: 520,203.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,416 : 347,712 = 347,712 : x
  2. Step 2: Convert to fraction form
    232,416/347,712 = 347,712/x
  3. Step 3: Cross multiply
    232,416x = 347,712 × 347,712
  4. Step 4: Simplify right side
    232,416x = 120,903,634,944
  5. Step 5: Solve for x
    x = 120,903,634,944/232,416
  6. Step 6: Final answer
    x = 520,203.58

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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.