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Finding the Third Proportional to 342,824 and 744,614

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Solution

The third proportional to 342,824 and 744,614 is: 1,617,302.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,824 : 744,614 = 744,614 : x
  2. Step 2: Convert to fraction form
    342,824/744,614 = 744,614/x
  3. Step 3: Cross multiply
    342,824x = 744,614 × 744,614
  4. Step 4: Simplify right side
    342,824x = 554,450,008,996
  5. Step 5: Solve for x
    x = 554,450,008,996/342,824
  6. Step 6: Final answer
    x = 1,617,302.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.