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Finding the Third Proportional to 291,569.06 and 476,105.34

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Solution

The third proportional to 291,569.06 and 476,105.34 is: 777,436.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,569.06 : 476,105.34 = 476,105.34 : x
  2. Step 2: Convert to fraction form
    291,569.06/476,105.34 = 476,105.34/x
  3. Step 3: Cross multiply
    291,569.06x = 476,105.34 × 476,105.34
  4. Step 4: Simplify right side
    291,569.06x = 226,676,298,347.31
  5. Step 5: Solve for x
    x = 226,676,298,347.31/291,569.06
  6. Step 6: Final answer
    x = 777,436.04

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.