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Finding the Third Proportional to 550,116 and 841,521

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Solution

The third proportional to 550,116 and 841,521 is: 1,287,287.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,116 : 841,521 = 841,521 : x
  2. Step 2: Convert to fraction form
    550,116/841,521 = 841,521/x
  3. Step 3: Cross multiply
    550,116x = 841,521 × 841,521
  4. Step 4: Simplify right side
    550,116x = 708,157,593,441
  5. Step 5: Solve for x
    x = 708,157,593,441/550,116
  6. Step 6: Final answer
    x = 1,287,287.76

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.