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Finding the Third Proportional to 330,281 and 506,084

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Solution

The third proportional to 330,281 and 506,084 is: 775,463.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,281 : 506,084 = 506,084 : x
  2. Step 2: Convert to fraction form
    330,281/506,084 = 506,084/x
  3. Step 3: Cross multiply
    330,281x = 506,084 × 506,084
  4. Step 4: Simplify right side
    330,281x = 256,121,015,056
  5. Step 5: Solve for x
    x = 256,121,015,056/330,281
  6. Step 6: Final answer
    x = 775,463.97

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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.