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Finding the Third Proportional to 550,108.13 and 841,507.31

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Solution

The third proportional to 550,108.13 and 841,507.31 is: 1,287,264.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,108.13 : 841,507.31 = 841,507.31 : x
  2. Step 2: Convert to fraction form
    550,108.13/841,507.31 = 841,507.31/x
  3. Step 3: Cross multiply
    550,108.13x = 841,507.31 × 841,507.31
  4. Step 4: Simplify right side
    550,108.13x = 708,134,556,990.97
  5. Step 5: Solve for x
    x = 708,134,556,990.97/550,108.13
  6. Step 6: Final answer
    x = 1,287,264.31

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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.