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Finding the Third Proportional to 302,307.75 and 471,843

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Solution

The third proportional to 302,307.75 and 471,843 is: 736,454.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,307.75 : 471,843 = 471,843 : x
  2. Step 2: Convert to fraction form
    302,307.75/471,843 = 471,843/x
  3. Step 3: Cross multiply
    302,307.75x = 471,843 × 471,843
  4. Step 4: Simplify right side
    302,307.75x = 222,635,816,649
  5. Step 5: Solve for x
    x = 222,635,816,649/302,307.75
  6. Step 6: Final answer
    x = 736,454.21

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.