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Finding the Third Proportional to 253,448 and 354,337

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Solution

The third proportional to 253,448 and 354,337 is: 495,386.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,448 : 354,337 = 354,337 : x
  2. Step 2: Convert to fraction form
    253,448/354,337 = 354,337/x
  3. Step 3: Cross multiply
    253,448x = 354,337 × 354,337
  4. Step 4: Simplify right side
    253,448x = 125,554,709,569
  5. Step 5: Solve for x
    x = 125,554,709,569/253,448
  6. Step 6: Final answer
    x = 495,386.47

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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.