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Finding the Third Proportional to 313,020 and 674,964

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Solution

The third proportional to 313,020 and 674,964 is: 1,455,422.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,020 : 674,964 = 674,964 : x
  2. Step 2: Convert to fraction form
    313,020/674,964 = 674,964/x
  3. Step 3: Cross multiply
    313,020x = 674,964 × 674,964
  4. Step 4: Simplify right side
    313,020x = 455,576,401,296
  5. Step 5: Solve for x
    x = 455,576,401,296/313,020
  6. Step 6: Final answer
    x = 1,455,422.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.