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Finding the Third Proportional to 654,916 and 978,328

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Solution

The third proportional to 654,916 and 978,328 is: 1,461,448.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,916 : 978,328 = 978,328 : x
  2. Step 2: Convert to fraction form
    654,916/978,328 = 978,328/x
  3. Step 3: Cross multiply
    654,916x = 978,328 × 978,328
  4. Step 4: Simplify right side
    654,916x = 957,125,675,584
  5. Step 5: Solve for x
    x = 957,125,675,584/654,916
  6. Step 6: Final answer
    x = 1,461,448.00

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.