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Finding the Third Proportional to 321,024 and 508,770

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Solution

The third proportional to 321,024 and 508,770 is: 806,316.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,024 : 508,770 = 508,770 : x
  2. Step 2: Convert to fraction form
    321,024/508,770 = 508,770/x
  3. Step 3: Cross multiply
    321,024x = 508,770 × 508,770
  4. Step 4: Simplify right side
    321,024x = 258,846,912,900
  5. Step 5: Solve for x
    x = 258,846,912,900/321,024
  6. Step 6: Final answer
    x = 806,316.39

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.