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Finding the Third Proportional to 713,656 and 978,585

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Solution

The third proportional to 713,656 and 978,585 is: 1,341,863.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,656 : 978,585 = 978,585 : x
  2. Step 2: Convert to fraction form
    713,656/978,585 = 978,585/x
  3. Step 3: Cross multiply
    713,656x = 978,585 × 978,585
  4. Step 4: Simplify right side
    713,656x = 957,628,602,225
  5. Step 5: Solve for x
    x = 957,628,602,225/713,656
  6. Step 6: Final answer
    x = 1,341,863.03

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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.