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Finding the Third Proportional to 353,153 and 513,319

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Solution

The third proportional to 353,153 and 513,319 is: 746,125.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,153 : 513,319 = 513,319 : x
  2. Step 2: Convert to fraction form
    353,153/513,319 = 513,319/x
  3. Step 3: Cross multiply
    353,153x = 513,319 × 513,319
  4. Step 4: Simplify right side
    353,153x = 263,496,395,761
  5. Step 5: Solve for x
    x = 263,496,395,761/353,153
  6. Step 6: Final answer
    x = 746,125.32

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.