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Finding the Third Proportional to 230,044 and 500,586

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Solution

The third proportional to 230,044 and 500,586 is: 1,089,297.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,044 : 500,586 = 500,586 : x
  2. Step 2: Convert to fraction form
    230,044/500,586 = 500,586/x
  3. Step 3: Cross multiply
    230,044x = 500,586 × 500,586
  4. Step 4: Simplify right side
    230,044x = 250,586,343,396
  5. Step 5: Solve for x
    x = 250,586,343,396/230,044
  6. Step 6: Final answer
    x = 1,089,297.45

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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.