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Finding the Third Proportional to 237,724 and 495,368

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Solution

The third proportional to 237,724 and 495,368 is: 1,032,245.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,724 : 495,368 = 495,368 : x
  2. Step 2: Convert to fraction form
    237,724/495,368 = 495,368/x
  3. Step 3: Cross multiply
    237,724x = 495,368 × 495,368
  4. Step 4: Simplify right side
    237,724x = 245,389,455,424
  5. Step 5: Solve for x
    x = 245,389,455,424/237,724
  6. Step 6: Final answer
    x = 1,032,245.19

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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.