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Finding the Third Proportional to 595,829.25 and 765,029.81

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Solution

The third proportional to 595,829.25 and 765,029.81 is: 982,279.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,829.25 : 765,029.81 = 765,029.81 : x
  2. Step 2: Convert to fraction form
    595,829.25/765,029.81 = 765,029.81/x
  3. Step 3: Cross multiply
    595,829.25x = 765,029.81 × 765,029.81
  4. Step 4: Simplify right side
    595,829.25x = 585,270,614,013.79
  5. Step 5: Solve for x
    x = 585,270,614,013.79/595,829.25
  6. Step 6: Final answer
    x = 982,279.09

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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.