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Finding the Third Proportional to 297,178,947 and 450,256,140

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Solution

The third proportional to 297,178,947 and 450,256,140 is: 682,183,558.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,178,947 : 450,256,140 = 450,256,140 : x
  2. Step 2: Convert to fraction form
    297,178,947/450,256,140 = 450,256,140/x
  3. Step 3: Cross multiply
    297,178,947x = 450,256,140 × 450,256,140
  4. Step 4: Simplify right side
    297,178,947x = 202,730,591,607,699,584
  5. Step 5: Solve for x
    x = 202,730,591,607,699,584/297,178,947
  6. Step 6: Final answer
    x = 682,183,558.61

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.