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Finding the Third Proportional to 228,712 and 501,583

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Solution

The third proportional to 228,712 and 501,583 is: 1,100,010.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,712 : 501,583 = 501,583 : x
  2. Step 2: Convert to fraction form
    228,712/501,583 = 501,583/x
  3. Step 3: Cross multiply
    228,712x = 501,583 × 501,583
  4. Step 4: Simplify right side
    228,712x = 251,585,505,889
  5. Step 5: Solve for x
    x = 251,585,505,889/228,712
  6. Step 6: Final answer
    x = 1,100,010.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.