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Finding the Third Proportional to 343,539 and 505,047

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Solution

The third proportional to 343,539 and 505,047 is: 742,484.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,539 : 505,047 = 505,047 : x
  2. Step 2: Convert to fraction form
    343,539/505,047 = 505,047/x
  3. Step 3: Cross multiply
    343,539x = 505,047 × 505,047
  4. Step 4: Simplify right side
    343,539x = 255,072,472,209
  5. Step 5: Solve for x
    x = 255,072,472,209/343,539
  6. Step 6: Final answer
    x = 742,484.76

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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.