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Finding the Third Proportional to 627,207 and 946,648.50

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Solution

The third proportional to 627,207 and 946,648.50 is: 1,428,784.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    627,207 : 946,648.50 = 946,648.50 : x
  2. Step 2: Convert to fraction form
    627,207/946,648.50 = 946,648.50/x
  3. Step 3: Cross multiply
    627,207x = 946,648.50 × 946,648.50
  4. Step 4: Simplify right side
    627,207x = 896,143,382,552.25
  5. Step 5: Solve for x
    x = 896,143,382,552.25/627,207
  6. Step 6: Final answer
    x = 1,428,784.09

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.