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Finding the Third Proportional to 323,124 and 495,972

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Solution

The third proportional to 323,124 and 495,972 is: 761,281.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,124 : 495,972 = 495,972 : x
  2. Step 2: Convert to fraction form
    323,124/495,972 = 495,972/x
  3. Step 3: Cross multiply
    323,124x = 495,972 × 495,972
  4. Step 4: Simplify right side
    323,124x = 245,988,224,784
  5. Step 5: Solve for x
    x = 245,988,224,784/323,124
  6. Step 6: Final answer
    x = 761,281.19

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.