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Finding the Third Proportional to 398,576 and 592,186

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Solution

The third proportional to 398,576 and 592,186 is: 879,842.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,576 : 592,186 = 592,186 : x
  2. Step 2: Convert to fraction form
    398,576/592,186 = 592,186/x
  3. Step 3: Cross multiply
    398,576x = 592,186 × 592,186
  4. Step 4: Simplify right side
    398,576x = 350,684,258,596
  5. Step 5: Solve for x
    x = 350,684,258,596/398,576
  6. Step 6: Final answer
    x = 879,842.89

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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.