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Finding the Third Proportional to 351,010 and 513,350

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Solution

The third proportional to 351,010 and 513,350 is: 750,771.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,010 : 513,350 = 513,350 : x
  2. Step 2: Convert to fraction form
    351,010/513,350 = 513,350/x
  3. Step 3: Cross multiply
    351,010x = 513,350 × 513,350
  4. Step 4: Simplify right side
    351,010x = 263,528,222,500
  5. Step 5: Solve for x
    x = 263,528,222,500/351,010
  6. Step 6: Final answer
    x = 750,771.27

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.