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Finding the Third Proportional to 306,069 and 662,004

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Solution

The third proportional to 306,069 and 662,004 is: 1,431,864.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,069 : 662,004 = 662,004 : x
  2. Step 2: Convert to fraction form
    306,069/662,004 = 662,004/x
  3. Step 3: Cross multiply
    306,069x = 662,004 × 662,004
  4. Step 4: Simplify right side
    306,069x = 438,249,296,016
  5. Step 5: Solve for x
    x = 438,249,296,016/306,069
  6. Step 6: Final answer
    x = 1,431,864.37

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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.