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Finding the Third Proportional to 555,636 and 841,204

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Solution

The third proportional to 555,636 and 841,204 is: 1,273,539.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    555,636 : 841,204 = 841,204 : x
  2. Step 2: Convert to fraction form
    555,636/841,204 = 841,204/x
  3. Step 3: Cross multiply
    555,636x = 841,204 × 841,204
  4. Step 4: Simplify right side
    555,636x = 707,624,169,616
  5. Step 5: Solve for x
    x = 707,624,169,616/555,636
  6. Step 6: Final answer
    x = 1,273,539.10

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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.