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Finding the Third Proportional to 340,291.13 and 733,615.31

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Solution

The third proportional to 340,291.13 and 733,615.31 is: 1,581,561.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,291.13 : 733,615.31 = 733,615.31 : x
  2. Step 2: Convert to fraction form
    340,291.13/733,615.31 = 733,615.31/x
  3. Step 3: Cross multiply
    340,291.13x = 733,615.31 × 733,615.31
  4. Step 4: Simplify right side
    340,291.13x = 538,191,426,734.47
  5. Step 5: Solve for x
    x = 538,191,426,734.47/340,291.13
  6. Step 6: Final answer
    x = 1,581,561.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.