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Finding the Third Proportional to 237,411 and 512,277.75

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Solution

The third proportional to 237,411 and 512,277.75 is: 1,105,376.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,411 : 512,277.75 = 512,277.75 : x
  2. Step 2: Convert to fraction form
    237,411/512,277.75 = 512,277.75/x
  3. Step 3: Cross multiply
    237,411x = 512,277.75 × 512,277.75
  4. Step 4: Simplify right side
    237,411x = 262,428,493,145.06
  5. Step 5: Solve for x
    x = 262,428,493,145.06/237,411
  6. Step 6: Final answer
    x = 1,105,376.30

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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.