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Finding the Third Proportional to 480,177 and 1,030,338

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Solution

The third proportional to 480,177 and 1,030,338 is: 2,210,843.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,177 : 1,030,338 = 1,030,338 : x
  2. Step 2: Convert to fraction form
    480,177/1,030,338 = 1,030,338/x
  3. Step 3: Cross multiply
    480,177x = 1,030,338 × 1,030,338
  4. Step 4: Simplify right side
    480,177x = 1,061,596,394,244
  5. Step 5: Solve for x
    x = 1,061,596,394,244/480,177
  6. Step 6: Final answer
    x = 2,210,843.91

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.