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Finding the Third Proportional to 294,046 and 439,911

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Solution

The third proportional to 294,046 and 439,911 is: 658,134.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,046 : 439,911 = 439,911 : x
  2. Step 2: Convert to fraction form
    294,046/439,911 = 439,911/x
  3. Step 3: Cross multiply
    294,046x = 439,911 × 439,911
  4. Step 4: Simplify right side
    294,046x = 193,521,687,921
  5. Step 5: Solve for x
    x = 193,521,687,921/294,046
  6. Step 6: Final answer
    x = 658,134.06

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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.