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Finding the Third Proportional to 544,080.38 and 841,131.84

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Solution

The third proportional to 544,080.38 and 841,131.84 is: 1,300,364.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,080.38 : 841,131.84 = 841,131.84 : x
  2. Step 2: Convert to fraction form
    544,080.38/841,131.84 = 841,131.84/x
  3. Step 3: Cross multiply
    544,080.38x = 841,131.84 × 841,131.84
  4. Step 4: Simplify right side
    544,080.38x = 707,502,778,570.27
  5. Step 5: Solve for x
    x = 707,502,778,570.27/544,080.38
  6. Step 6: Final answer
    x = 1,300,364.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.