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Finding the Third Proportional to 535,086.75 and 783,433.13

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Solution

The third proportional to 535,086.75 and 783,433.13 is: 1,147,042.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,086.75 : 783,433.13 = 783,433.13 : x
  2. Step 2: Convert to fraction form
    535,086.75/783,433.13 = 783,433.13/x
  3. Step 3: Cross multiply
    535,086.75x = 783,433.13 × 783,433.13
  4. Step 4: Simplify right side
    535,086.75x = 613,767,461,347.27
  5. Step 5: Solve for x
    x = 613,767,461,347.27/535,086.75
  6. Step 6: Final answer
    x = 1,147,042.91

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.