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Finding the Third Proportional to 529,048.13 and 756,241.31

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Solution

The third proportional to 529,048.13 and 756,241.31 is: 1,080,999.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,048.13 : 756,241.31 = 756,241.31 : x
  2. Step 2: Convert to fraction form
    529,048.13/756,241.31 = 756,241.31/x
  3. Step 3: Cross multiply
    529,048.13x = 756,241.31 × 756,241.31
  4. Step 4: Simplify right side
    529,048.13x = 571,900,922,731.72
  5. Step 5: Solve for x
    x = 571,900,922,731.72/529,048.13
  6. Step 6: Final answer
    x = 1,080,999.81

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.