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Finding the Third Proportional to 302,964 and 460,741

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Solution

The third proportional to 302,964 and 460,741 is: 700,684.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,964 : 460,741 = 460,741 : x
  2. Step 2: Convert to fraction form
    302,964/460,741 = 460,741/x
  3. Step 3: Cross multiply
    302,964x = 460,741 × 460,741
  4. Step 4: Simplify right side
    302,964x = 212,282,269,081
  5. Step 5: Solve for x
    x = 212,282,269,081/302,964
  6. Step 6: Final answer
    x = 700,684.80

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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.