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Finding the Third Proportional to 637,372 and 978,341

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Solution

The third proportional to 637,372 and 978,341 is: 1,501,715.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    637,372 : 978,341 = 978,341 : x
  2. Step 2: Convert to fraction form
    637,372/978,341 = 978,341/x
  3. Step 3: Cross multiply
    637,372x = 978,341 × 978,341
  4. Step 4: Simplify right side
    637,372x = 957,151,112,281
  5. Step 5: Solve for x
    x = 957,151,112,281/637,372
  6. Step 6: Final answer
    x = 1,501,715.03

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.