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Finding the Third Proportional to 301,887 and 646,044

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Solution

The third proportional to 301,887 and 646,044 is: 1,382,546.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,887 : 646,044 = 646,044 : x
  2. Step 2: Convert to fraction form
    301,887/646,044 = 646,044/x
  3. Step 3: Cross multiply
    301,887x = 646,044 × 646,044
  4. Step 4: Simplify right side
    301,887x = 417,372,849,936
  5. Step 5: Solve for x
    x = 417,372,849,936/301,887
  6. Step 6: Final answer
    x = 1,382,546.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.