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Finding the Third Proportional to 285,922 and 420,566

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Solution

The third proportional to 285,922 and 420,566 is: 618,615.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,922 : 420,566 = 420,566 : x
  2. Step 2: Convert to fraction form
    285,922/420,566 = 420,566/x
  3. Step 3: Cross multiply
    285,922x = 420,566 × 420,566
  4. Step 4: Simplify right side
    285,922x = 176,875,760,356
  5. Step 5: Solve for x
    x = 176,875,760,356/285,922
  6. Step 6: Final answer
    x = 618,615.43

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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.