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Finding the Third Proportional to 713,490 and 978,378

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Solution

The third proportional to 713,490 and 978,378 is: 1,341,607.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,490 : 978,378 = 978,378 : x
  2. Step 2: Convert to fraction form
    713,490/978,378 = 978,378/x
  3. Step 3: Cross multiply
    713,490x = 978,378 × 978,378
  4. Step 4: Simplify right side
    713,490x = 957,223,510,884
  5. Step 5: Solve for x
    x = 957,223,510,884/713,490
  6. Step 6: Final answer
    x = 1,341,607.47

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.