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Finding the Third Proportional to 434,011.50 and 650,592

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Solution

The third proportional to 434,011.50 and 650,592 is: 975,250.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,011.50 : 650,592 = 650,592 : x
  2. Step 2: Convert to fraction form
    434,011.50/650,592 = 650,592/x
  3. Step 3: Cross multiply
    434,011.50x = 650,592 × 650,592
  4. Step 4: Simplify right side
    434,011.50x = 423,269,950,464
  5. Step 5: Solve for x
    x = 423,269,950,464/434,011.50
  6. Step 6: Final answer
    x = 975,250.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.