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Finding the Third Proportional to 595,950.75 and 765,190.13

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Solution

The third proportional to 595,950.75 and 765,190.13 is: 982,490.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,950.75 : 765,190.13 = 765,190.13 : x
  2. Step 2: Convert to fraction form
    595,950.75/765,190.13 = 765,190.13/x
  3. Step 3: Cross multiply
    595,950.75x = 765,190.13 × 765,190.13
  4. Step 4: Simplify right side
    595,950.75x = 585,515,927,397.52
  5. Step 5: Solve for x
    x = 585,515,927,397.52/595,950.75
  6. Step 6: Final answer
    x = 982,490.46

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.