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Finding the Third Proportional to 330,338 and 506,159

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Solution

The third proportional to 330,338 and 506,159 is: 775,559.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,338 : 506,159 = 506,159 : x
  2. Step 2: Convert to fraction form
    330,338/506,159 = 506,159/x
  3. Step 3: Cross multiply
    330,338x = 506,159 × 506,159
  4. Step 4: Simplify right side
    330,338x = 256,196,933,281
  5. Step 5: Solve for x
    x = 256,196,933,281/330,338
  6. Step 6: Final answer
    x = 775,559.98

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.