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Finding the Third Proportional to 228,714 and 501,585

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Solution

The third proportional to 228,714 and 501,585 is: 1,100,009.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,714 : 501,585 = 501,585 : x
  2. Step 2: Convert to fraction form
    228,714/501,585 = 501,585/x
  3. Step 3: Cross multiply
    228,714x = 501,585 × 501,585
  4. Step 4: Simplify right side
    228,714x = 251,587,512,225
  5. Step 5: Solve for x
    x = 251,587,512,225/228,714
  6. Step 6: Final answer
    x = 1,100,009.24

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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.