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Finding the Third Proportional to 293,303 and 443,235

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Solution

The third proportional to 293,303 and 443,235 is: 669,809.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,303 : 443,235 = 443,235 : x
  2. Step 2: Convert to fraction form
    293,303/443,235 = 443,235/x
  3. Step 3: Cross multiply
    293,303x = 443,235 × 443,235
  4. Step 4: Simplify right side
    293,303x = 196,457,265,225
  5. Step 5: Solve for x
    x = 196,457,265,225/293,303
  6. Step 6: Final answer
    x = 669,809.94

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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.