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Finding the Third Proportional to 287,855,361 and 420,987,168

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Solution

The third proportional to 287,855,361 and 420,987,168 is: 615,691,835.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,855,361 : 420,987,168 = 420,987,168 : x
  2. Step 2: Convert to fraction form
    287,855,361/420,987,168 = 420,987,168/x
  3. Step 3: Cross multiply
    287,855,361x = 420,987,168 × 420,987,168
  4. Step 4: Simplify right side
    287,855,361x = 177,230,195,620,660,224
  5. Step 5: Solve for x
    x = 177,230,195,620,660,224/287,855,361
  6. Step 6: Final answer
    x = 615,691,835.67

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.