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Finding the Third Proportional to 239,426 and 501,029

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Solution

The third proportional to 239,426 and 501,029 is: 1,048,466.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,426 : 501,029 = 501,029 : x
  2. Step 2: Convert to fraction form
    239,426/501,029 = 501,029/x
  3. Step 3: Cross multiply
    239,426x = 501,029 × 501,029
  4. Step 4: Simplify right side
    239,426x = 251,030,058,841
  5. Step 5: Solve for x
    x = 251,030,058,841/239,426
  6. Step 6: Final answer
    x = 1,048,466.16

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.