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Finding the Third Proportional to 315,618 and 443,940

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Solution

The third proportional to 315,618 and 443,940 is: 624,434.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,618 : 443,940 = 443,940 : x
  2. Step 2: Convert to fraction form
    315,618/443,940 = 443,940/x
  3. Step 3: Cross multiply
    315,618x = 443,940 × 443,940
  4. Step 4: Simplify right side
    315,618x = 197,082,723,600
  5. Step 5: Solve for x
    x = 197,082,723,600/315,618
  6. Step 6: Final answer
    x = 624,434.36

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.