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Finding the Third Proportional to 335,064 and 722,614

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Solution

The third proportional to 335,064 and 722,614 is: 1,558,421.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,064 : 722,614 = 722,614 : x
  2. Step 2: Convert to fraction form
    335,064/722,614 = 722,614/x
  3. Step 3: Cross multiply
    335,064x = 722,614 × 722,614
  4. Step 4: Simplify right side
    335,064x = 522,170,992,996
  5. Step 5: Solve for x
    x = 522,170,992,996/335,064
  6. Step 6: Final answer
    x = 1,558,421.65

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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.