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Finding the Third Proportional to 295,676 and 463,294

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Solution

The third proportional to 295,676 and 463,294 is: 725,934.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,676 : 463,294 = 463,294 : x
  2. Step 2: Convert to fraction form
    295,676/463,294 = 463,294/x
  3. Step 3: Cross multiply
    295,676x = 463,294 × 463,294
  4. Step 4: Simplify right side
    295,676x = 214,641,330,436
  5. Step 5: Solve for x
    x = 214,641,330,436/295,676
  6. Step 6: Final answer
    x = 725,934.23

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.