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Finding the Third Proportional to 302,746 and 468,770

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Solution

The third proportional to 302,746 and 468,770 is: 725,840.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,746 : 468,770 = 468,770 : x
  2. Step 2: Convert to fraction form
    302,746/468,770 = 468,770/x
  3. Step 3: Cross multiply
    302,746x = 468,770 × 468,770
  4. Step 4: Simplify right side
    302,746x = 219,745,312,900
  5. Step 5: Solve for x
    x = 219,745,312,900/302,746
  6. Step 6: Final answer
    x = 725,840.52

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Why These Related Problems?

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