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Finding the Third Proportional to 423,895.50 and 594,089.25

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Solution

The third proportional to 423,895.50 and 594,089.25 is: 832,615.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,895.50 : 594,089.25 = 594,089.25 : x
  2. Step 2: Convert to fraction form
    423,895.50/594,089.25 = 594,089.25/x
  3. Step 3: Cross multiply
    423,895.50x = 594,089.25 × 594,089.25
  4. Step 4: Simplify right side
    423,895.50x = 352,942,036,965.56
  5. Step 5: Solve for x
    x = 352,942,036,965.56/423,895.50
  6. Step 6: Final answer
    x = 832,615.67

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.