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Finding the Third Proportional to 301,947,567 and 660,415,960.50

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Solution

The third proportional to 301,947,567 and 660,415,960.50 is: 1,444,453,569.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,947,567 : 660,415,960.50 = 660,415,960.50 : x
  2. Step 2: Convert to fraction form
    301,947,567/660,415,960.50 = 660,415,960.50/x
  3. Step 3: Cross multiply
    301,947,567x = 660,415,960.50 × 660,415,960.50
  4. Step 4: Simplify right side
    301,947,567x = 436,149,240,883,137,536
  5. Step 5: Solve for x
    x = 436,149,240,883,137,536/301,947,567
  6. Step 6: Final answer
    x = 1,444,453,569.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.