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Finding the Third Proportional to 283,491 and 438,631.50

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Solution

The third proportional to 283,491 and 438,631.50 is: 678,672.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,491 : 438,631.50 = 438,631.50 : x
  2. Step 2: Convert to fraction form
    283,491/438,631.50 = 438,631.50/x
  3. Step 3: Cross multiply
    283,491x = 438,631.50 × 438,631.50
  4. Step 4: Simplify right side
    283,491x = 192,397,592,792.25
  5. Step 5: Solve for x
    x = 192,397,592,792.25/283,491
  6. Step 6: Final answer
    x = 678,672.67

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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.