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Finding the Third Proportional to 646,495.50 and 974,664

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Solution

The third proportional to 646,495.50 and 974,664 is: 1,469,414.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,495.50 : 974,664 = 974,664 : x
  2. Step 2: Convert to fraction form
    646,495.50/974,664 = 974,664/x
  3. Step 3: Cross multiply
    646,495.50x = 974,664 × 974,664
  4. Step 4: Simplify right side
    646,495.50x = 949,969,912,896
  5. Step 5: Solve for x
    x = 949,969,912,896/646,495.50
  6. Step 6: Final answer
    x = 1,469,414.58

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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.