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Finding the Third Proportional to 624,069 and 1,277,707.50

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Solution

The third proportional to 624,069 and 1,277,707.50 is: 2,615,955.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,069 : 1,277,707.50 = 1,277,707.50 : x
  2. Step 2: Convert to fraction form
    624,069/1,277,707.50 = 1,277,707.50/x
  3. Step 3: Cross multiply
    624,069x = 1,277,707.50 × 1,277,707.50
  4. Step 4: Simplify right side
    624,069x = 1,632,536,455,556.25
  5. Step 5: Solve for x
    x = 1,632,536,455,556.25/624,069
  6. Step 6: Final answer
    x = 2,615,955.06

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.