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Finding the Third Proportional to 302,276.81 and 471,799.69

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Solution

The third proportional to 302,276.81 and 471,799.69 is: 736,394.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,276.81 : 471,799.69 = 471,799.69 : x
  2. Step 2: Convert to fraction form
    302,276.81/471,799.69 = 471,799.69/x
  3. Step 3: Cross multiply
    302,276.81x = 471,799.69 × 471,799.69
  4. Step 4: Simplify right side
    302,276.81x = 222,594,945,125.10
  5. Step 5: Solve for x
    x = 222,594,945,125.10/302,276.81
  6. Step 6: Final answer
    x = 736,394.38

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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.