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Finding the Third Proportional to 323,127 and 495,976.50

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Solution

The third proportional to 323,127 and 495,976.50 is: 761,287.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,127 : 495,976.50 = 495,976.50 : x
  2. Step 2: Convert to fraction form
    323,127/495,976.50 = 495,976.50/x
  3. Step 3: Cross multiply
    323,127x = 495,976.50 × 495,976.50
  4. Step 4: Simplify right side
    323,127x = 245,992,688,552.25
  5. Step 5: Solve for x
    x = 245,992,688,552.25/323,127
  6. Step 6: Final answer
    x = 761,287.94

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