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Finding the Third Proportional to 713,430 and 978,291

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Solution

The third proportional to 713,430 and 978,291 is: 1,341,481.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,430 : 978,291 = 978,291 : x
  2. Step 2: Convert to fraction form
    713,430/978,291 = 978,291/x
  3. Step 3: Cross multiply
    713,430x = 978,291 × 978,291
  4. Step 4: Simplify right side
    713,430x = 957,053,280,681
  5. Step 5: Solve for x
    x = 957,053,280,681/713,430
  6. Step 6: Final answer
    x = 1,341,481.69

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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.