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Finding the Third Proportional to 358,610 and 845,326

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Solution

The third proportional to 358,610 and 845,326 is: 1,992,627.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,610 : 845,326 = 845,326 : x
  2. Step 2: Convert to fraction form
    358,610/845,326 = 845,326/x
  3. Step 3: Cross multiply
    358,610x = 845,326 × 845,326
  4. Step 4: Simplify right side
    358,610x = 714,576,046,276
  5. Step 5: Solve for x
    x = 714,576,046,276/358,610
  6. Step 6: Final answer
    x = 1,992,627.22

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.