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Finding the Third Proportional to 554,346 and 836,514

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Solution

The third proportional to 554,346 and 836,514 is: 1,262,308.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,346 : 836,514 = 836,514 : x
  2. Step 2: Convert to fraction form
    554,346/836,514 = 836,514/x
  3. Step 3: Cross multiply
    554,346x = 836,514 × 836,514
  4. Step 4: Simplify right side
    554,346x = 699,755,672,196
  5. Step 5: Solve for x
    x = 699,755,672,196/554,346
  6. Step 6: Final answer
    x = 1,262,308.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.