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Finding the Third Proportional to 333,397.27 and 476,417.53

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Solution

The third proportional to 333,397.27 and 476,417.53 is: 680,790.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,397.27 : 476,417.53 = 476,417.53 : x
  2. Step 2: Convert to fraction form
    333,397.27/476,417.53 = 476,417.53/x
  3. Step 3: Cross multiply
    333,397.27x = 476,417.53 × 476,417.53
  4. Step 4: Simplify right side
    333,397.27x = 226,973,664,082.35
  5. Step 5: Solve for x
    x = 226,973,664,082.35/333,397.27
  6. Step 6: Final answer
    x = 680,790.42

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.