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Finding the Third Proportional to 550,371.38 and 841,971.38

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Solution

The third proportional to 550,371.38 and 841,971.38 is: 1,288,068.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,371.38 : 841,971.38 = 841,971.38 : x
  2. Step 2: Convert to fraction form
    550,371.38/841,971.38 = 841,971.38/x
  3. Step 3: Cross multiply
    550,371.38x = 841,971.38 × 841,971.38
  4. Step 4: Simplify right side
    550,371.38x = 708,915,796,319.39
  5. Step 5: Solve for x
    x = 708,915,796,319.39/550,371.38
  6. Step 6: Final answer
    x = 1,288,068.07

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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.