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Finding the Third Proportional to 330,022 and 719,300

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Solution

The third proportional to 330,022 and 719,300 is: 1,567,751.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,022 : 719,300 = 719,300 : x
  2. Step 2: Convert to fraction form
    330,022/719,300 = 719,300/x
  3. Step 3: Cross multiply
    330,022x = 719,300 × 719,300
  4. Step 4: Simplify right side
    330,022x = 517,392,490,000
  5. Step 5: Solve for x
    x = 517,392,490,000/330,022
  6. Step 6: Final answer
    x = 1,567,751.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.