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Finding the Third Proportional to 367,398 and 520,011

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Solution

The third proportional to 367,398 and 520,011 is: 736,017.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,398 : 520,011 = 520,011 : x
  2. Step 2: Convert to fraction form
    367,398/520,011 = 520,011/x
  3. Step 3: Cross multiply
    367,398x = 520,011 × 520,011
  4. Step 4: Simplify right side
    367,398x = 270,411,440,121
  5. Step 5: Solve for x
    x = 270,411,440,121/367,398
  6. Step 6: Final answer
    x = 736,017.72

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.