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Finding the Third Proportional to 302,304 and 471,840

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Solution

The third proportional to 302,304 and 471,840 is: 736,453.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,304 : 471,840 = 471,840 : x
  2. Step 2: Convert to fraction form
    302,304/471,840 = 471,840/x
  3. Step 3: Cross multiply
    302,304x = 471,840 × 471,840
  4. Step 4: Simplify right side
    302,304x = 222,632,985,600
  5. Step 5: Solve for x
    x = 222,632,985,600/302,304
  6. Step 6: Final answer
    x = 736,453.99

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.