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Finding the Third Proportional to 289,545 and 442,928.25

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Solution

The third proportional to 289,545 and 442,928.25 is: 677,564.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,545 : 442,928.25 = 442,928.25 : x
  2. Step 2: Convert to fraction form
    289,545/442,928.25 = 442,928.25/x
  3. Step 3: Cross multiply
    289,545x = 442,928.25 × 442,928.25
  4. Step 4: Simplify right side
    289,545x = 196,185,434,648.06
  5. Step 5: Solve for x
    x = 196,185,434,648.06/289,545
  6. Step 6: Final answer
    x = 677,564.57

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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.