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Finding the Third Proportional to 440,793 and 609,075.75

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Solution

The third proportional to 440,793 and 609,075.75 is: 841,604.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,793 : 609,075.75 = 609,075.75 : x
  2. Step 2: Convert to fraction form
    440,793/609,075.75 = 609,075.75/x
  3. Step 3: Cross multiply
    440,793x = 609,075.75 × 609,075.75
  4. Step 4: Simplify right side
    440,793x = 370,973,269,238.06
  5. Step 5: Solve for x
    x = 370,973,269,238.06/440,793
  6. Step 6: Final answer
    x = 841,604.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.