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Finding the Third Proportional to 713,445 and 978,308

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Solution

The third proportional to 713,445 and 978,308 is: 1,341,500.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,445 : 978,308 = 978,308 : x
  2. Step 2: Convert to fraction form
    713,445/978,308 = 978,308/x
  3. Step 3: Cross multiply
    713,445x = 978,308 × 978,308
  4. Step 4: Simplify right side
    713,445x = 957,086,542,864
  5. Step 5: Solve for x
    x = 957,086,542,864/713,445
  6. Step 6: Final answer
    x = 1,341,500.11

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.