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Finding the Third Proportional to 302,322.38 and 457,391.81

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Solution

The third proportional to 302,322.38 and 457,391.81 is: 692,000.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,322.38 : 457,391.81 = 457,391.81 : x
  2. Step 2: Convert to fraction form
    302,322.38/457,391.81 = 457,391.81/x
  3. Step 3: Cross multiply
    302,322.38x = 457,391.81 × 457,391.81
  4. Step 4: Simplify right side
    302,322.38x = 209,207,270,142.04
  5. Step 5: Solve for x
    x = 209,207,270,142.04/302,322.38
  6. Step 6: Final answer
    x = 692,000.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.