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Finding the Third Proportional to 350,066 and 531,376

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Solution

The third proportional to 350,066 and 531,376 is: 806,592.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,066 : 531,376 = 531,376 : x
  2. Step 2: Convert to fraction form
    350,066/531,376 = 531,376/x
  3. Step 3: Cross multiply
    350,066x = 531,376 × 531,376
  4. Step 4: Simplify right side
    350,066x = 282,360,453,376
  5. Step 5: Solve for x
    x = 282,360,453,376/350,066
  6. Step 6: Final answer
    x = 806,592.05

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.