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Finding the Third Proportional to 713,464 and 978,340

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Solution

The third proportional to 713,464 and 978,340 is: 1,341,552.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,464 : 978,340 = 978,340 : x
  2. Step 2: Convert to fraction form
    713,464/978,340 = 978,340/x
  3. Step 3: Cross multiply
    713,464x = 978,340 × 978,340
  4. Step 4: Simplify right side
    713,464x = 957,149,155,600
  5. Step 5: Solve for x
    x = 957,149,155,600/713,464
  6. Step 6: Final answer
    x = 1,341,552.14

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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.