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Finding the Third Proportional to 321,578 and 700,300

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Solution

The third proportional to 321,578 and 700,300 is: 1,525,042.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,578 : 700,300 = 700,300 : x
  2. Step 2: Convert to fraction form
    321,578/700,300 = 700,300/x
  3. Step 3: Cross multiply
    321,578x = 700,300 × 700,300
  4. Step 4: Simplify right side
    321,578x = 490,420,090,000
  5. Step 5: Solve for x
    x = 490,420,090,000/321,578
  6. Step 6: Final answer
    x = 1,525,042.42

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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.