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Finding the Third Proportional to 320,952 and 677,708

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Solution

The third proportional to 320,952 and 677,708 is: 1,431,018.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,952 : 677,708 = 677,708 : x
  2. Step 2: Convert to fraction form
    320,952/677,708 = 677,708/x
  3. Step 3: Cross multiply
    320,952x = 677,708 × 677,708
  4. Step 4: Simplify right side
    320,952x = 459,288,133,264
  5. Step 5: Solve for x
    x = 459,288,133,264/320,952
  6. Step 6: Final answer
    x = 1,431,018.14

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.