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Finding the Third Proportional to 237,918 and 528,324

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Solution

The third proportional to 237,918 and 528,324 is: 1,173,203.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,918 : 528,324 = 528,324 : x
  2. Step 2: Convert to fraction form
    237,918/528,324 = 528,324/x
  3. Step 3: Cross multiply
    237,918x = 528,324 × 528,324
  4. Step 4: Simplify right side
    237,918x = 279,126,248,976
  5. Step 5: Solve for x
    x = 279,126,248,976/237,918
  6. Step 6: Final answer
    x = 1,173,203.58

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.