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Finding the Third Proportional to 301,463.63 and 627,734.63

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Solution

The third proportional to 301,463.63 and 627,734.63 is: 1,307,125.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,463.63 : 627,734.63 = 627,734.63 : x
  2. Step 2: Convert to fraction form
    301,463.63/627,734.63 = 627,734.63/x
  3. Step 3: Cross multiply
    301,463.63x = 627,734.63 × 627,734.63
  4. Step 4: Simplify right side
    301,463.63x = 394,050,759,423.89
  5. Step 5: Solve for x
    x = 394,050,759,423.89/301,463.63
  6. Step 6: Final answer
    x = 1,307,125.39

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.