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Finding the Third Proportional to 452,670.75 and 683,622

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Solution

The third proportional to 452,670.75 and 683,622 is: 1,032,403.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,670.75 : 683,622 = 683,622 : x
  2. Step 2: Convert to fraction form
    452,670.75/683,622 = 683,622/x
  3. Step 3: Cross multiply
    452,670.75x = 683,622 × 683,622
  4. Step 4: Simplify right side
    452,670.75x = 467,339,038,884
  5. Step 5: Solve for x
    x = 467,339,038,884/452,670.75
  6. Step 6: Final answer
    x = 1,032,403.88

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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.