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Finding the Third Proportional to 354,398 and 757,971

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Solution

The third proportional to 354,398 and 757,971 is: 1,621,115.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,398 : 757,971 = 757,971 : x
  2. Step 2: Convert to fraction form
    354,398/757,971 = 757,971/x
  3. Step 3: Cross multiply
    354,398x = 757,971 × 757,971
  4. Step 4: Simplify right side
    354,398x = 574,520,036,841
  5. Step 5: Solve for x
    x = 574,520,036,841/354,398
  6. Step 6: Final answer
    x = 1,621,115.35

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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.