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Finding the Third Proportional to 550,125 and 841,533

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Solution

The third proportional to 550,125 and 841,533 is: 1,287,303.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,125 : 841,533 = 841,533 : x
  2. Step 2: Convert to fraction form
    550,125/841,533 = 841,533/x
  3. Step 3: Cross multiply
    550,125x = 841,533 × 841,533
  4. Step 4: Simplify right side
    550,125x = 708,177,790,089
  5. Step 5: Solve for x
    x = 708,177,790,089/550,125
  6. Step 6: Final answer
    x = 1,287,303.41

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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.