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Finding the Third Proportional to 297,178,944 and 450,256,134

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Solution

The third proportional to 297,178,944 and 450,256,134 is: 682,183,547.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,178,944 : 450,256,134 = 450,256,134 : x
  2. Step 2: Convert to fraction form
    297,178,944/450,256,134 = 450,256,134/x
  3. Step 3: Cross multiply
    297,178,944x = 450,256,134 × 450,256,134
  4. Step 4: Simplify right side
    297,178,944x = 202,730,586,204,625,952
  5. Step 5: Solve for x
    x = 202,730,586,204,625,952/297,178,944
  6. Step 6: Final answer
    x = 682,183,547.31

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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.