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Finding the Third Proportional to 328,130 and 501,795

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Solution

The third proportional to 328,130 and 501,795 is: 767,373.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,130 : 501,795 = 501,795 : x
  2. Step 2: Convert to fraction form
    328,130/501,795 = 501,795/x
  3. Step 3: Cross multiply
    328,130x = 501,795 × 501,795
  4. Step 4: Simplify right side
    328,130x = 251,798,222,025
  5. Step 5: Solve for x
    x = 251,798,222,025/328,130
  6. Step 6: Final answer
    x = 767,373.36

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.