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Finding the Third Proportional to 314,784.75 and 674,484.75

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Solution

The third proportional to 314,784.75 and 674,484.75 is: 1,445,208.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,784.75 : 674,484.75 = 674,484.75 : x
  2. Step 2: Convert to fraction form
    314,784.75/674,484.75 = 674,484.75/x
  3. Step 3: Cross multiply
    314,784.75x = 674,484.75 × 674,484.75
  4. Step 4: Simplify right side
    314,784.75x = 454,929,677,982.56
  5. Step 5: Solve for x
    x = 454,929,677,982.56/314,784.75
  6. Step 6: Final answer
    x = 1,445,208.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.