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Finding the Third Proportional to 316,636 and 666,074

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Solution

The third proportional to 316,636 and 666,074 is: 1,401,150.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,636 : 666,074 = 666,074 : x
  2. Step 2: Convert to fraction form
    316,636/666,074 = 666,074/x
  3. Step 3: Cross multiply
    316,636x = 666,074 × 666,074
  4. Step 4: Simplify right side
    316,636x = 443,654,573,476
  5. Step 5: Solve for x
    x = 443,654,573,476/316,636
  6. Step 6: Final answer
    x = 1,401,150.13

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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.