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Finding the Third Proportional to 315,308 and 453,279

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Solution

The third proportional to 315,308 and 453,279 is: 651,622.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,308 : 453,279 = 453,279 : x
  2. Step 2: Convert to fraction form
    315,308/453,279 = 453,279/x
  3. Step 3: Cross multiply
    315,308x = 453,279 × 453,279
  4. Step 4: Simplify right side
    315,308x = 205,461,851,841
  5. Step 5: Solve for x
    x = 205,461,851,841/315,308
  6. Step 6: Final answer
    x = 651,622.70

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.