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Finding the Third Proportional to 369,564 and 557,676

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Solution

The third proportional to 369,564 and 557,676 is: 841,539.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,564 : 557,676 = 557,676 : x
  2. Step 2: Convert to fraction form
    369,564/557,676 = 557,676/x
  3. Step 3: Cross multiply
    369,564x = 557,676 × 557,676
  4. Step 4: Simplify right side
    369,564x = 311,002,520,976
  5. Step 5: Solve for x
    x = 311,002,520,976/369,564
  6. Step 6: Final answer
    x = 841,539.01

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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.