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Finding the Third Proportional to 302,959.50 and 460,734

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Solution

The third proportional to 302,959.50 and 460,734 is: 700,673.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,959.50 : 460,734 = 460,734 : x
  2. Step 2: Convert to fraction form
    302,959.50/460,734 = 460,734/x
  3. Step 3: Cross multiply
    302,959.50x = 460,734 × 460,734
  4. Step 4: Simplify right side
    302,959.50x = 212,275,818,756
  5. Step 5: Solve for x
    x = 212,275,818,756/302,959.50
  6. Step 6: Final answer
    x = 700,673.91

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.