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Finding the Third Proportional to 324,511 and 710,197

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Solution

The third proportional to 324,511 and 710,197 is: 1,554,276.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,511 : 710,197 = 710,197 : x
  2. Step 2: Convert to fraction form
    324,511/710,197 = 710,197/x
  3. Step 3: Cross multiply
    324,511x = 710,197 × 710,197
  4. Step 4: Simplify right side
    324,511x = 504,379,778,809
  5. Step 5: Solve for x
    x = 504,379,778,809/324,511
  6. Step 6: Final answer
    x = 1,554,276.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.