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Finding the Third Proportional to 302,332 and 471,878

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Solution

The third proportional to 302,332 and 471,878 is: 736,504.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,332 : 471,878 = 471,878 : x
  2. Step 2: Convert to fraction form
    302,332/471,878 = 471,878/x
  3. Step 3: Cross multiply
    302,332x = 471,878 × 471,878
  4. Step 4: Simplify right side
    302,332x = 222,668,846,884
  5. Step 5: Solve for x
    x = 222,668,846,884/302,332
  6. Step 6: Final answer
    x = 736,504.40

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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.