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Finding the Third Proportional to 688,329 and 1,476,300.38

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Solution

The third proportional to 688,329 and 1,476,300.38 is: 3,166,309.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,329 : 1,476,300.38 = 1,476,300.38 : x
  2. Step 2: Convert to fraction form
    688,329/1,476,300.38 = 1,476,300.38/x
  3. Step 3: Cross multiply
    688,329x = 1,476,300.38 × 1,476,300.38
  4. Step 4: Simplify right side
    688,329x = 2,179,462,797,225.14
  5. Step 5: Solve for x
    x = 2,179,462,797,225.14/688,329
  6. Step 6: Final answer
    x = 3,166,309.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.