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Finding the Third Proportional to 349,556.34 and 765,807.75

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Solution

The third proportional to 349,556.34 and 765,807.75 is: 1,677,730.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,556.34 : 765,807.75 = 765,807.75 : x
  2. Step 2: Convert to fraction form
    349,556.34/765,807.75 = 765,807.75/x
  3. Step 3: Cross multiply
    349,556.34x = 765,807.75 × 765,807.75
  4. Step 4: Simplify right side
    349,556.34x = 586,461,509,960.06
  5. Step 5: Solve for x
    x = 586,461,509,960.06/349,556.34
  6. Step 6: Final answer
    x = 1,677,730.99

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