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Finding the Third Proportional to 576,212 and 845,631

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Solution

The third proportional to 576,212 and 845,631 is: 1,241,022.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,212 : 845,631 = 845,631 : x
  2. Step 2: Convert to fraction form
    576,212/845,631 = 845,631/x
  3. Step 3: Cross multiply
    576,212x = 845,631 × 845,631
  4. Step 4: Simplify right side
    576,212x = 715,091,788,161
  5. Step 5: Solve for x
    x = 715,091,788,161/576,212
  6. Step 6: Final answer
    x = 1,241,022.03

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.