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Finding the Third Proportional to 230,029 and 500,557

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Solution

The third proportional to 230,029 and 500,557 is: 1,089,242.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,029 : 500,557 = 500,557 : x
  2. Step 2: Convert to fraction form
    230,029/500,557 = 500,557/x
  3. Step 3: Cross multiply
    230,029x = 500,557 × 500,557
  4. Step 4: Simplify right side
    230,029x = 250,557,310,249
  5. Step 5: Solve for x
    x = 250,557,310,249/230,029
  6. Step 6: Final answer
    x = 1,089,242.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.