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Finding the Third Proportional to 316,640 and 666,082

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Solution

The third proportional to 316,640 and 666,082 is: 1,401,166.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,640 : 666,082 = 666,082 : x
  2. Step 2: Convert to fraction form
    316,640/666,082 = 666,082/x
  3. Step 3: Cross multiply
    316,640x = 666,082 × 666,082
  4. Step 4: Simplify right side
    316,640x = 443,665,230,724
  5. Step 5: Solve for x
    x = 443,665,230,724/316,640
  6. Step 6: Final answer
    x = 1,401,166.09

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.