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Finding the Third Proportional to 285,914 and 420,554

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Solution

The third proportional to 285,914 and 420,554 is: 618,597.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,914 : 420,554 = 420,554 : x
  2. Step 2: Convert to fraction form
    285,914/420,554 = 420,554/x
  3. Step 3: Cross multiply
    285,914x = 420,554 × 420,554
  4. Step 4: Simplify right side
    285,914x = 176,865,666,916
  5. Step 5: Solve for x
    x = 176,865,666,916/285,914
  6. Step 6: Final answer
    x = 618,597.43

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.