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Finding the Third Proportional to 253,432 and 354,313

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Solution

The third proportional to 253,432 and 354,313 is: 495,350.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,432 : 354,313 = 354,313 : x
  2. Step 2: Convert to fraction form
    253,432/354,313 = 354,313/x
  3. Step 3: Cross multiply
    253,432x = 354,313 × 354,313
  4. Step 4: Simplify right side
    253,432x = 125,537,701,969
  5. Step 5: Solve for x
    x = 125,537,701,969/253,432
  6. Step 6: Final answer
    x = 495,350.63

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.