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Finding the Third Proportional to 237,426 and 512,304

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Solution

The third proportional to 237,426 and 512,304 is: 1,105,419.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,426 : 512,304 = 512,304 : x
  2. Step 2: Convert to fraction form
    237,426/512,304 = 512,304/x
  3. Step 3: Cross multiply
    237,426x = 512,304 × 512,304
  4. Step 4: Simplify right side
    237,426x = 262,455,388,416
  5. Step 5: Solve for x
    x = 262,455,388,416/237,426
  6. Step 6: Final answer
    x = 1,105,419.75

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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.