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Finding the Third Proportional to 237,742 and 495,410

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Solution

The third proportional to 237,742 and 495,410 is: 1,032,342.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,742 : 495,410 = 495,410 : x
  2. Step 2: Convert to fraction form
    237,742/495,410 = 495,410/x
  3. Step 3: Cross multiply
    237,742x = 495,410 × 495,410
  4. Step 4: Simplify right side
    237,742x = 245,431,068,100
  5. Step 5: Solve for x
    x = 245,431,068,100/237,742
  6. Step 6: Final answer
    x = 1,032,342.07

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.