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Finding the Third Proportional to 285,316 and 443,558

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Solution

The third proportional to 285,316 and 443,558 is: 689,564.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,316 : 443,558 = 443,558 : x
  2. Step 2: Convert to fraction form
    285,316/443,558 = 443,558/x
  3. Step 3: Cross multiply
    285,316x = 443,558 × 443,558
  4. Step 4: Simplify right side
    285,316x = 196,743,699,364
  5. Step 5: Solve for x
    x = 196,743,699,364/285,316
  6. Step 6: Final answer
    x = 689,564.20

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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.