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Finding the Third Proportional to 349,764 and 753,044

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Solution

The third proportional to 349,764 and 753,044 is: 1,621,308.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,764 : 753,044 = 753,044 : x
  2. Step 2: Convert to fraction form
    349,764/753,044 = 753,044/x
  3. Step 3: Cross multiply
    349,764x = 753,044 × 753,044
  4. Step 4: Simplify right side
    349,764x = 567,075,265,936
  5. Step 5: Solve for x
    x = 567,075,265,936/349,764
  6. Step 6: Final answer
    x = 1,621,308.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.