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Finding the Third Proportional to 397,476 and 590,808

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Solution

The third proportional to 397,476 and 590,808 is: 878,176.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,476 : 590,808 = 590,808 : x
  2. Step 2: Convert to fraction form
    397,476/590,808 = 590,808/x
  3. Step 3: Cross multiply
    397,476x = 590,808 × 590,808
  4. Step 4: Simplify right side
    397,476x = 349,054,092,864
  5. Step 5: Solve for x
    x = 349,054,092,864/397,476
  6. Step 6: Final answer
    x = 878,176.53

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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.