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Finding the Third Proportional to 200,429.44 and 473,075.44

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Solution

The third proportional to 200,429.44 and 473,075.44 is: 1,116,604.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,429.44 : 473,075.44 = 473,075.44 : x
  2. Step 2: Convert to fraction form
    200,429.44/473,075.44 = 473,075.44/x
  3. Step 3: Cross multiply
    200,429.44x = 473,075.44 × 473,075.44
  4. Step 4: Simplify right side
    200,429.44x = 223,800,369,565.82
  5. Step 5: Solve for x
    x = 223,800,369,565.82/200,429.44
  6. Step 6: Final answer
    x = 1,116,604.29

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.