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Finding the Third Proportional to 237,604 and 512,048

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Solution

The third proportional to 237,604 and 512,048 is: 1,103,487.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,604 : 512,048 = 512,048 : x
  2. Step 2: Convert to fraction form
    237,604/512,048 = 512,048/x
  3. Step 3: Cross multiply
    237,604x = 512,048 × 512,048
  4. Step 4: Simplify right side
    237,604x = 262,193,154,304
  5. Step 5: Solve for x
    x = 262,193,154,304/237,604
  6. Step 6: Final answer
    x = 1,103,487.96

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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.