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Finding the Third Proportional to 367,429 and 520,057

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Solution

The third proportional to 367,429 and 520,057 is: 736,085.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,429 : 520,057 = 520,057 : x
  2. Step 2: Convert to fraction form
    367,429/520,057 = 520,057/x
  3. Step 3: Cross multiply
    367,429x = 520,057 × 520,057
  4. Step 4: Simplify right side
    367,429x = 270,459,283,249
  5. Step 5: Solve for x
    x = 270,459,283,249/367,429
  6. Step 6: Final answer
    x = 736,085.84

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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.