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Finding the Third Proportional to 434,011.50 and 663,525

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Solution

The third proportional to 434,011.50 and 663,525 is: 1,014,409.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,011.50 : 663,525 = 663,525 : x
  2. Step 2: Convert to fraction form
    434,011.50/663,525 = 663,525/x
  3. Step 3: Cross multiply
    434,011.50x = 663,525 × 663,525
  4. Step 4: Simplify right side
    434,011.50x = 440,265,425,625
  5. Step 5: Solve for x
    x = 440,265,425,625/434,011.50
  6. Step 6: Final answer
    x = 1,014,409.59

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.