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Finding the Third Proportional to 550,147 and 841,569

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Solution

The third proportional to 550,147 and 841,569 is: 1,287,362.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,147 : 841,569 = 841,569 : x
  2. Step 2: Convert to fraction form
    550,147/841,569 = 841,569/x
  3. Step 3: Cross multiply
    550,147x = 841,569 × 841,569
  4. Step 4: Simplify right side
    550,147x = 708,238,381,761
  5. Step 5: Solve for x
    x = 708,238,381,761/550,147
  6. Step 6: Final answer
    x = 1,287,362.07

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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.