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Finding the Third Proportional to 302,723,598 and 467,703,117

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Solution

The third proportional to 302,723,598 and 467,703,117 is: 722,593,835.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,723,598 : 467,703,117 = 467,703,117 : x
  2. Step 2: Convert to fraction form
    302,723,598/467,703,117 = 467,703,117/x
  3. Step 3: Cross multiply
    302,723,598x = 467,703,117 × 467,703,117
  4. Step 4: Simplify right side
    302,723,598x = 218,746,205,651,515,680
  5. Step 5: Solve for x
    x = 218,746,205,651,515,680/302,723,598
  6. Step 6: Final answer
    x = 722,593,835.09

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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.