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Finding the Third Proportional to 323,653 and 495,335

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Solution

The third proportional to 323,653 and 495,335 is: 758,085.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,653 : 495,335 = 495,335 : x
  2. Step 2: Convert to fraction form
    323,653/495,335 = 495,335/x
  3. Step 3: Cross multiply
    323,653x = 495,335 × 495,335
  4. Step 4: Simplify right side
    323,653x = 245,356,762,225
  5. Step 5: Solve for x
    x = 245,356,762,225/323,653
  6. Step 6: Final answer
    x = 758,085.86

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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.