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Finding the Third Proportional to 343,421.25 and 504,841.50

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Solution

The third proportional to 343,421.25 and 504,841.50 is: 742,135.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,421.25 : 504,841.50 = 504,841.50 : x
  2. Step 2: Convert to fraction form
    343,421.25/504,841.50 = 504,841.50/x
  3. Step 3: Cross multiply
    343,421.25x = 504,841.50 × 504,841.50
  4. Step 4: Simplify right side
    343,421.25x = 254,864,940,122.25
  5. Step 5: Solve for x
    x = 254,864,940,122.25/343,421.25
  6. Step 6: Final answer
    x = 742,135.03

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.