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Finding the Third Proportional to 303,480 and 476,004

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Solution

The third proportional to 303,480 and 476,004 is: 746,605.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,480 : 476,004 = 476,004 : x
  2. Step 2: Convert to fraction form
    303,480/476,004 = 476,004/x
  3. Step 3: Cross multiply
    303,480x = 476,004 × 476,004
  4. Step 4: Simplify right side
    303,480x = 226,579,808,016
  5. Step 5: Solve for x
    x = 226,579,808,016/303,480
  6. Step 6: Final answer
    x = 746,605.40

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.