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Finding the Third Proportional to 300,541,434.75 and 459,750,079.69

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Solution

The third proportional to 300,541,434.75 and 459,750,079.69 is: 703,297,819.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,541,434.75 : 459,750,079.69 = 459,750,079.69 : x
  2. Step 2: Convert to fraction form
    300,541,434.75/459,750,079.69 = 459,750,079.69/x
  3. Step 3: Cross multiply
    300,541,434.75x = 459,750,079.69 × 459,750,079.69
  4. Step 4: Simplify right side
    300,541,434.75x = 211,370,135,772,662,592
  5. Step 5: Solve for x
    x = 211,370,135,772,662,592/300,541,434.75
  6. Step 6: Final answer
    x = 703,297,819.65

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.