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Finding the Third Proportional to 349,906 and 524,768

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Solution

The third proportional to 349,906 and 524,768 is: 787,015.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,906 : 524,768 = 524,768 : x
  2. Step 2: Convert to fraction form
    349,906/524,768 = 524,768/x
  3. Step 3: Cross multiply
    349,906x = 524,768 × 524,768
  4. Step 4: Simplify right side
    349,906x = 275,381,453,824
  5. Step 5: Solve for x
    x = 275,381,453,824/349,906
  6. Step 6: Final answer
    x = 787,015.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.