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Finding the Third Proportional to 301,896 and 646,065

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Solution

The third proportional to 301,896 and 646,065 is: 1,382,595.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,896 : 646,065 = 646,065 : x
  2. Step 2: Convert to fraction form
    301,896/646,065 = 646,065/x
  3. Step 3: Cross multiply
    301,896x = 646,065 × 646,065
  4. Step 4: Simplify right side
    301,896x = 417,399,984,225
  5. Step 5: Solve for x
    x = 417,399,984,225/301,896
  6. Step 6: Final answer
    x = 1,382,595.28

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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.