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Finding the Third Proportional to 340,717.22 and 525,291.33

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Solution

The third proportional to 340,717.22 and 525,291.33 is: 809,853.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,717.22 : 525,291.33 = 525,291.33 : x
  2. Step 2: Convert to fraction form
    340,717.22/525,291.33 = 525,291.33/x
  3. Step 3: Cross multiply
    340,717.22x = 525,291.33 × 525,291.33
  4. Step 4: Simplify right side
    340,717.22x = 275,930,979,403.33
  5. Step 5: Solve for x
    x = 275,930,979,403.33/340,717.22
  6. Step 6: Final answer
    x = 809,853.35

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.