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Finding the Third Proportional to 349,554.66 and 765,804.38

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Solution

The third proportional to 349,554.66 and 765,804.38 is: 1,677,724.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,554.66 : 765,804.38 = 765,804.38 : x
  2. Step 2: Convert to fraction form
    349,554.66/765,804.38 = 765,804.38/x
  3. Step 3: Cross multiply
    349,554.66x = 765,804.38 × 765,804.38
  4. Step 4: Simplify right side
    349,554.66x = 586,456,340,769.14
  5. Step 5: Solve for x
    x = 586,456,340,769.14/349,554.66
  6. Step 6: Final answer
    x = 1,677,724.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.