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Finding the Third Proportional to 204,075 and 476,547.75

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Solution

The third proportional to 204,075 and 476,547.75 is: 1,112,815.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,075 : 476,547.75 = 476,547.75 : x
  2. Step 2: Convert to fraction form
    204,075/476,547.75 = 476,547.75/x
  3. Step 3: Cross multiply
    204,075x = 476,547.75 × 476,547.75
  4. Step 4: Simplify right side
    204,075x = 227,097,758,030.06
  5. Step 5: Solve for x
    x = 227,097,758,030.06/204,075
  6. Step 6: Final answer
    x = 1,112,815.18

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.