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Finding the Third Proportional to 237,537.40 and 512,441.60

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Solution

The third proportional to 237,537.40 and 512,441.60 is: 1,105,494.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,537.40 : 512,441.60 = 512,441.60 : x
  2. Step 2: Convert to fraction form
    237,537.40/512,441.60 = 512,441.60/x
  3. Step 3: Cross multiply
    237,537.40x = 512,441.60 × 512,441.60
  4. Step 4: Simplify right side
    237,537.40x = 262,596,389,006.74
  5. Step 5: Solve for x
    x = 262,596,389,006.74/237,537.40
  6. Step 6: Final answer
    x = 1,105,494.90

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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.