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Finding the Third Proportional to 290,312.25 and 627,333

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Solution

The third proportional to 290,312.25 and 627,333 is: 1,355,597.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,312.25 : 627,333 = 627,333 : x
  2. Step 2: Convert to fraction form
    290,312.25/627,333 = 627,333/x
  3. Step 3: Cross multiply
    290,312.25x = 627,333 × 627,333
  4. Step 4: Simplify right side
    290,312.25x = 393,546,692,889
  5. Step 5: Solve for x
    x = 393,546,692,889/290,312.25
  6. Step 6: Final answer
    x = 1,355,597.96

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.