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Finding the Third Proportional to 317,765 and 495,399

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Solution

The third proportional to 317,765 and 495,399 is: 772,332.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,765 : 495,399 = 495,399 : x
  2. Step 2: Convert to fraction form
    317,765/495,399 = 495,399/x
  3. Step 3: Cross multiply
    317,765x = 495,399 × 495,399
  4. Step 4: Simplify right side
    317,765x = 245,420,169,201
  5. Step 5: Solve for x
    x = 245,420,169,201/317,765
  6. Step 6: Final answer
    x = 772,332.29

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.