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Finding the Third Proportional to 378,330 and 578,578

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Solution

The third proportional to 378,330 and 578,578 is: 884,816.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,330 : 578,578 = 578,578 : x
  2. Step 2: Convert to fraction form
    378,330/578,578 = 578,578/x
  3. Step 3: Cross multiply
    378,330x = 578,578 × 578,578
  4. Step 4: Simplify right side
    378,330x = 334,752,502,084
  5. Step 5: Solve for x
    x = 334,752,502,084/378,330
  6. Step 6: Final answer
    x = 884,816.17

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.