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Finding the Third Proportional to 264,407 and 515,530

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Solution

The third proportional to 264,407 and 515,530 is: 1,005,159.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,407 : 515,530 = 515,530 : x
  2. Step 2: Convert to fraction form
    264,407/515,530 = 515,530/x
  3. Step 3: Cross multiply
    264,407x = 515,530 × 515,530
  4. Step 4: Simplify right side
    264,407x = 265,771,180,900
  5. Step 5: Solve for x
    x = 265,771,180,900/264,407
  6. Step 6: Final answer
    x = 1,005,159.40

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.