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Finding the Third Proportional to 713,460 and 978,334

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Solution

The third proportional to 713,460 and 978,334 is: 1,341,543.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,460 : 978,334 = 978,334 : x
  2. Step 2: Convert to fraction form
    713,460/978,334 = 978,334/x
  3. Step 3: Cross multiply
    713,460x = 978,334 × 978,334
  4. Step 4: Simplify right side
    713,460x = 957,137,415,556
  5. Step 5: Solve for x
    x = 957,137,415,556/713,460
  6. Step 6: Final answer
    x = 1,341,543.21

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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.