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Finding the Third Proportional to 367,460 and 520,095

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Solution

The third proportional to 367,460 and 520,095 is: 736,131.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,460 : 520,095 = 520,095 : x
  2. Step 2: Convert to fraction form
    367,460/520,095 = 520,095/x
  3. Step 3: Cross multiply
    367,460x = 520,095 × 520,095
  4. Step 4: Simplify right side
    367,460x = 270,498,809,025
  5. Step 5: Solve for x
    x = 270,498,809,025/367,460
  6. Step 6: Final answer
    x = 736,131.30

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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.