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Finding the Third Proportional to 237,740 and 495,406

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Solution

The third proportional to 237,740 and 495,406 is: 1,032,334.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,740 : 495,406 = 495,406 : x
  2. Step 2: Convert to fraction form
    237,740/495,406 = 495,406/x
  3. Step 3: Cross multiply
    237,740x = 495,406 × 495,406
  4. Step 4: Simplify right side
    237,740x = 245,427,104,836
  5. Step 5: Solve for x
    x = 245,427,104,836/237,740
  6. Step 6: Final answer
    x = 1,032,334.08

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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.