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Finding the Third Proportional to 302,969 and 469,764

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Solution

The third proportional to 302,969 and 469,764 is: 728,385.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,969 : 469,764 = 469,764 : x
  2. Step 2: Convert to fraction form
    302,969/469,764 = 469,764/x
  3. Step 3: Cross multiply
    302,969x = 469,764 × 469,764
  4. Step 4: Simplify right side
    302,969x = 220,678,215,696
  5. Step 5: Solve for x
    x = 220,678,215,696/302,969
  6. Step 6: Final answer
    x = 728,385.46

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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.