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Finding the Third Proportional to 294,036 and 439,896

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Solution

The third proportional to 294,036 and 439,896 is: 658,111.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,036 : 439,896 = 439,896 : x
  2. Step 2: Convert to fraction form
    294,036/439,896 = 439,896/x
  3. Step 3: Cross multiply
    294,036x = 439,896 × 439,896
  4. Step 4: Simplify right side
    294,036x = 193,508,490,816
  5. Step 5: Solve for x
    x = 193,508,490,816/294,036
  6. Step 6: Final answer
    x = 658,111.56

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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.