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Finding the Third Proportional to 441,809,819 and 658,883,404.50

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Solution

The third proportional to 441,809,819 and 658,883,404.50 is: 982,611,345.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,809,819 : 658,883,404.50 = 658,883,404.50 : x
  2. Step 2: Convert to fraction form
    441,809,819/658,883,404.50 = 658,883,404.50/x
  3. Step 3: Cross multiply
    441,809,819x = 658,883,404.50 × 658,883,404.50
  4. Step 4: Simplify right side
    441,809,819x = 434,127,340,725,510,592
  5. Step 5: Solve for x
    x = 434,127,340,725,510,592/441,809,819
  6. Step 6: Final answer
    x = 982,611,345.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.