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Finding the Third Proportional to 550,512 and 841,560

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Solution

The third proportional to 550,512 and 841,560 is: 1,286,481.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,512 : 841,560 = 841,560 : x
  2. Step 2: Convert to fraction form
    550,512/841,560 = 841,560/x
  3. Step 3: Cross multiply
    550,512x = 841,560 × 841,560
  4. Step 4: Simplify right side
    550,512x = 708,223,233,600
  5. Step 5: Solve for x
    x = 708,223,233,600/550,512
  6. Step 6: Final answer
    x = 1,286,481.01

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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.