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Finding the Third Proportional to 237,010 and 559,476

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Solution

The third proportional to 237,010 and 559,476 is: 1,320,675.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,010 : 559,476 = 559,476 : x
  2. Step 2: Convert to fraction form
    237,010/559,476 = 559,476/x
  3. Step 3: Cross multiply
    237,010x = 559,476 × 559,476
  4. Step 4: Simplify right side
    237,010x = 313,013,394,576
  5. Step 5: Solve for x
    x = 313,013,394,576/237,010
  6. Step 6: Final answer
    x = 1,320,675.90

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.