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Finding the Third Proportional to 713,412 and 978,264

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Solution

The third proportional to 713,412 and 978,264 is: 1,341,441.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,412 : 978,264 = 978,264 : x
  2. Step 2: Convert to fraction form
    713,412/978,264 = 978,264/x
  3. Step 3: Cross multiply
    713,412x = 978,264 × 978,264
  4. Step 4: Simplify right side
    713,412x = 957,000,453,696
  5. Step 5: Solve for x
    x = 957,000,453,696/713,412
  6. Step 6: Final answer
    x = 1,341,441.49

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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.