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Finding the Third Proportional to 310,902 and 664,455

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Solution

The third proportional to 310,902 and 664,455 is: 1,420,063.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,902 : 664,455 = 664,455 : x
  2. Step 2: Convert to fraction form
    310,902/664,455 = 664,455/x
  3. Step 3: Cross multiply
    310,902x = 664,455 × 664,455
  4. Step 4: Simplify right side
    310,902x = 441,500,447,025
  5. Step 5: Solve for x
    x = 441,500,447,025/310,902
  6. Step 6: Final answer
    x = 1,420,063.06

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.