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Finding the Third Proportional to 297,241,744 and 459,116,184

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Solution

The third proportional to 297,241,744 and 459,116,184 is: 709,145,584.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,241,744 : 459,116,184 = 459,116,184 : x
  2. Step 2: Convert to fraction form
    297,241,744/459,116,184 = 459,116,184/x
  3. Step 3: Cross multiply
    297,241,744x = 459,116,184 × 459,116,184
  4. Step 4: Simplify right side
    297,241,744x = 210,787,670,410,721,856
  5. Step 5: Solve for x
    x = 210,787,670,410,721,856/297,241,744
  6. Step 6: Final answer
    x = 709,145,584.92

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.