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Finding the Third Proportional to 237,429 and 505,746

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Solution

The third proportional to 237,429 and 505,746 is: 1,077,286.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,429 : 505,746 = 505,746 : x
  2. Step 2: Convert to fraction form
    237,429/505,746 = 505,746/x
  3. Step 3: Cross multiply
    237,429x = 505,746 × 505,746
  4. Step 4: Simplify right side
    237,429x = 255,779,016,516
  5. Step 5: Solve for x
    x = 255,779,016,516/237,429
  6. Step 6: Final answer
    x = 1,077,286.33

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.