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Finding the Third Proportional to 302,723,600 and 467,703,120

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Solution

The third proportional to 302,723,600 and 467,703,120 is: 722,593,839.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,723,600 : 467,703,120 = 467,703,120 : x
  2. Step 2: Convert to fraction form
    302,723,600/467,703,120 = 467,703,120/x
  3. Step 3: Cross multiply
    302,723,600x = 467,703,120 × 467,703,120
  4. Step 4: Simplify right side
    302,723,600x = 218,746,208,457,734,400
  5. Step 5: Solve for x
    x = 218,746,208,457,734,400/302,723,600
  6. Step 6: Final answer
    x = 722,593,839.59

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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.