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Finding the Third Proportional to 285,306 and 441,532

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Solution

The third proportional to 285,306 and 441,532 is: 683,303.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,306 : 441,532 = 441,532 : x
  2. Step 2: Convert to fraction form
    285,306/441,532 = 441,532/x
  3. Step 3: Cross multiply
    285,306x = 441,532 × 441,532
  4. Step 4: Simplify right side
    285,306x = 194,950,507,024
  5. Step 5: Solve for x
    x = 194,950,507,024/285,306
  6. Step 6: Final answer
    x = 683,303.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.