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Finding the Third Proportional to 713,510 and 978,408

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Solution

The third proportional to 713,510 and 978,408 is: 1,341,652.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,510 : 978,408 = 978,408 : x
  2. Step 2: Convert to fraction form
    713,510/978,408 = 978,408/x
  3. Step 3: Cross multiply
    713,510x = 978,408 × 978,408
  4. Step 4: Simplify right side
    713,510x = 957,282,214,464
  5. Step 5: Solve for x
    x = 957,282,214,464/713,510
  6. Step 6: Final answer
    x = 1,341,652.13

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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.