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Finding the Third Proportional to 305,424 and 458,712

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Solution

The third proportional to 305,424 and 458,712 is: 688,933.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,424 : 458,712 = 458,712 : x
  2. Step 2: Convert to fraction form
    305,424/458,712 = 458,712/x
  3. Step 3: Cross multiply
    305,424x = 458,712 × 458,712
  4. Step 4: Simplify right side
    305,424x = 210,416,698,944
  5. Step 5: Solve for x
    x = 210,416,698,944/305,424
  6. Step 6: Final answer
    x = 688,933.09

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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.