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Finding the Third Proportional to 490,018.50 and 735,030

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Solution

The third proportional to 490,018.50 and 735,030 is: 1,102,548.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,018.50 : 735,030 = 735,030 : x
  2. Step 2: Convert to fraction form
    490,018.50/735,030 = 735,030/x
  3. Step 3: Cross multiply
    490,018.50x = 735,030 × 735,030
  4. Step 4: Simplify right side
    490,018.50x = 540,269,100,900
  5. Step 5: Solve for x
    x = 540,269,100,900/490,018.50
  6. Step 6: Final answer
    x = 1,102,548.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.