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Finding the Third Proportional to 293,425 and 464,741

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Solution

The third proportional to 293,425 and 464,741 is: 736,079.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,425 : 464,741 = 464,741 : x
  2. Step 2: Convert to fraction form
    293,425/464,741 = 464,741/x
  3. Step 3: Cross multiply
    293,425x = 464,741 × 464,741
  4. Step 4: Simplify right side
    293,425x = 215,984,197,081
  5. Step 5: Solve for x
    x = 215,984,197,081/293,425
  6. Step 6: Final answer
    x = 736,079.74

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.