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Finding the Third Proportional to 346,002.75 and 748,866.75

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Solution

The third proportional to 346,002.75 and 748,866.75 is: 1,620,800.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,002.75 : 748,866.75 = 748,866.75 : x
  2. Step 2: Convert to fraction form
    346,002.75/748,866.75 = 748,866.75/x
  3. Step 3: Cross multiply
    346,002.75x = 748,866.75 × 748,866.75
  4. Step 4: Simplify right side
    346,002.75x = 560,801,409,255.56
  5. Step 5: Solve for x
    x = 560,801,409,255.56/346,002.75
  6. Step 6: Final answer
    x = 1,620,800.44

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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.