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Finding the Third Proportional to 302,749 and 468,774

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Solution

The third proportional to 302,749 and 468,774 is: 725,845.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,749 : 468,774 = 468,774 : x
  2. Step 2: Convert to fraction form
    302,749/468,774 = 468,774/x
  3. Step 3: Cross multiply
    302,749x = 468,774 × 468,774
  4. Step 4: Simplify right side
    302,749x = 219,749,063,076
  5. Step 5: Solve for x
    x = 219,749,063,076/302,749
  6. Step 6: Final answer
    x = 725,845.71

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.