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Finding the Third Proportional to 301,304.25 and 627,574.50

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Solution

The third proportional to 301,304.25 and 627,574.50 is: 1,307,149.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,304.25 : 627,574.50 = 627,574.50 : x
  2. Step 2: Convert to fraction form
    301,304.25/627,574.50 = 627,574.50/x
  3. Step 3: Cross multiply
    301,304.25x = 627,574.50 × 627,574.50
  4. Step 4: Simplify right side
    301,304.25x = 393,849,753,050.25
  5. Step 5: Solve for x
    x = 393,849,753,050.25/301,304.25
  6. Step 6: Final answer
    x = 1,307,149.68

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