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Finding the Third Proportional to 276,341 and 610,768

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Solution

The third proportional to 276,341 and 610,768 is: 1,349,917.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,341 : 610,768 = 610,768 : x
  2. Step 2: Convert to fraction form
    276,341/610,768 = 610,768/x
  3. Step 3: Cross multiply
    276,341x = 610,768 × 610,768
  4. Step 4: Simplify right side
    276,341x = 373,037,549,824
  5. Step 5: Solve for x
    x = 373,037,549,824/276,341
  6. Step 6: Final answer
    x = 1,349,917.49

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.