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Finding the Third Proportional to 473,202.75 and 1,032,048

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Solution

The third proportional to 473,202.75 and 1,032,048 is: 2,250,880.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,202.75 : 1,032,048 = 1,032,048 : x
  2. Step 2: Convert to fraction form
    473,202.75/1,032,048 = 1,032,048/x
  3. Step 3: Cross multiply
    473,202.75x = 1,032,048 × 1,032,048
  4. Step 4: Simplify right side
    473,202.75x = 1,065,123,074,304
  5. Step 5: Solve for x
    x = 1,065,123,074,304/473,202.75
  6. Step 6: Final answer
    x = 2,250,880.99

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.