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Finding the Third Proportional to 293,944 and 439,772

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Solution

The third proportional to 293,944 and 439,772 is: 657,946.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,944 : 439,772 = 439,772 : x
  2. Step 2: Convert to fraction form
    293,944/439,772 = 439,772/x
  3. Step 3: Cross multiply
    293,944x = 439,772 × 439,772
  4. Step 4: Simplify right side
    293,944x = 193,399,411,984
  5. Step 5: Solve for x
    x = 193,399,411,984/293,944
  6. Step 6: Final answer
    x = 657,946.45

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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.