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Finding the Third Proportional to 343,448 and 505,239

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Solution

The third proportional to 343,448 and 505,239 is: 743,246.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,448 : 505,239 = 505,239 : x
  2. Step 2: Convert to fraction form
    343,448/505,239 = 505,239/x
  3. Step 3: Cross multiply
    343,448x = 505,239 × 505,239
  4. Step 4: Simplify right side
    343,448x = 255,266,447,121
  5. Step 5: Solve for x
    x = 255,266,447,121/343,448
  6. Step 6: Final answer
    x = 743,246.28

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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.