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Finding the Third Proportional to 302,969 and 460,749

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Solution

The third proportional to 302,969 and 460,749 is: 700,697.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,969 : 460,749 = 460,749 : x
  2. Step 2: Convert to fraction form
    302,969/460,749 = 460,749/x
  3. Step 3: Cross multiply
    302,969x = 460,749 × 460,749
  4. Step 4: Simplify right side
    302,969x = 212,289,641,001
  5. Step 5: Solve for x
    x = 212,289,641,001/302,969
  6. Step 6: Final answer
    x = 700,697.57

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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.