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Finding the Third Proportional to 343,429 and 504,856

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Solution

The third proportional to 343,429 and 504,856 is: 742,160.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,429 : 504,856 = 504,856 : x
  2. Step 2: Convert to fraction form
    343,429/504,856 = 504,856/x
  3. Step 3: Cross multiply
    343,429x = 504,856 × 504,856
  4. Step 4: Simplify right side
    343,429x = 254,879,580,736
  5. Step 5: Solve for x
    x = 254,879,580,736/343,429
  6. Step 6: Final answer
    x = 742,160.91

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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.