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Finding the Third Proportional to 291,234 and 439,525

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Solution

The third proportional to 291,234 and 439,525 is: 663,323.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,234 : 439,525 = 439,525 : x
  2. Step 2: Convert to fraction form
    291,234/439,525 = 439,525/x
  3. Step 3: Cross multiply
    291,234x = 439,525 × 439,525
  4. Step 4: Simplify right side
    291,234x = 193,182,225,625
  5. Step 5: Solve for x
    x = 193,182,225,625/291,234
  6. Step 6: Final answer
    x = 663,323.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.