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Finding the Third Proportional to 713,490 and 978,377

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Solution

The third proportional to 713,490 and 978,377 is: 1,341,604.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,490 : 978,377 = 978,377 : x
  2. Step 2: Convert to fraction form
    713,490/978,377 = 978,377/x
  3. Step 3: Cross multiply
    713,490x = 978,377 × 978,377
  4. Step 4: Simplify right side
    713,490x = 957,221,554,129
  5. Step 5: Solve for x
    x = 957,221,554,129/713,490
  6. Step 6: Final answer
    x = 1,341,604.72

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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.