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Finding the Third Proportional to 349,062 and 753,036

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Solution

The third proportional to 349,062 and 753,036 is: 1,624,534.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,062 : 753,036 = 753,036 : x
  2. Step 2: Convert to fraction form
    349,062/753,036 = 753,036/x
  3. Step 3: Cross multiply
    349,062x = 753,036 × 753,036
  4. Step 4: Simplify right side
    349,062x = 567,063,217,296
  5. Step 5: Solve for x
    x = 567,063,217,296/349,062
  6. Step 6: Final answer
    x = 1,624,534.37

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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.