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Finding the Third Proportional to 349,455 and 753,961

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Solution

The third proportional to 349,455 and 753,961 is: 1,626,696.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,455 : 753,961 = 753,961 : x
  2. Step 2: Convert to fraction form
    349,455/753,961 = 753,961/x
  3. Step 3: Cross multiply
    349,455x = 753,961 × 753,961
  4. Step 4: Simplify right side
    349,455x = 568,457,189,521
  5. Step 5: Solve for x
    x = 568,457,189,521/349,455
  6. Step 6: Final answer
    x = 1,626,696.40

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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.