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Finding the Third Proportional to 291,570 and 476,107.50

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Solution

The third proportional to 291,570 and 476,107.50 is: 777,440.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,570 : 476,107.50 = 476,107.50 : x
  2. Step 2: Convert to fraction form
    291,570/476,107.50 = 476,107.50/x
  3. Step 3: Cross multiply
    291,570x = 476,107.50 × 476,107.50
  4. Step 4: Simplify right side
    291,570x = 226,678,351,556.25
  5. Step 5: Solve for x
    x = 226,678,351,556.25/291,570
  6. Step 6: Final answer
    x = 777,440.59

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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.