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Finding the Third Proportional to 286,308 and 646,848

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Solution

The third proportional to 286,308 and 646,848 is: 1,461,406.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,308 : 646,848 = 646,848 : x
  2. Step 2: Convert to fraction form
    286,308/646,848 = 646,848/x
  3. Step 3: Cross multiply
    286,308x = 646,848 × 646,848
  4. Step 4: Simplify right side
    286,308x = 418,412,335,104
  5. Step 5: Solve for x
    x = 418,412,335,104/286,308
  6. Step 6: Final answer
    x = 1,461,406.37

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.