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Finding the Third Proportional to 297,178,956 and 450,256,152

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Solution

The third proportional to 297,178,956 and 450,256,152 is: 682,183,574.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,178,956 : 450,256,152 = 450,256,152 : x
  2. Step 2: Convert to fraction form
    297,178,956/450,256,152 = 450,256,152/x
  3. Step 3: Cross multiply
    297,178,956x = 450,256,152 × 450,256,152
  4. Step 4: Simplify right side
    297,178,956x = 202,730,602,413,847,104
  5. Step 5: Solve for x
    x = 202,730,602,413,847,104/297,178,956
  6. Step 6: Final answer
    x = 682,183,574.31

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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.