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Finding the Third Proportional to 378,303 and 562,095

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Solution

The third proportional to 378,303 and 562,095 is: 835,179.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,303 : 562,095 = 562,095 : x
  2. Step 2: Convert to fraction form
    378,303/562,095 = 562,095/x
  3. Step 3: Cross multiply
    378,303x = 562,095 × 562,095
  4. Step 4: Simplify right side
    378,303x = 315,950,789,025
  5. Step 5: Solve for x
    x = 315,950,789,025/378,303
  6. Step 6: Final answer
    x = 835,179.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.