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Finding the Third Proportional to 237,456 and 512,799.75

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Solution

The third proportional to 237,456 and 512,799.75 is: 1,107,420.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,456 : 512,799.75 = 512,799.75 : x
  2. Step 2: Convert to fraction form
    237,456/512,799.75 = 512,799.75/x
  3. Step 3: Cross multiply
    237,456x = 512,799.75 × 512,799.75
  4. Step 4: Simplify right side
    237,456x = 262,963,583,600.06
  5. Step 5: Solve for x
    x = 262,963,583,600.06/237,456
  6. Step 6: Final answer
    x = 1,107,420.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.