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Finding the Third Proportional to 229,401 and 495,702

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Solution

The third proportional to 229,401 and 495,702 is: 1,071,139.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,401 : 495,702 = 495,702 : x
  2. Step 2: Convert to fraction form
    229,401/495,702 = 495,702/x
  3. Step 3: Cross multiply
    229,401x = 495,702 × 495,702
  4. Step 4: Simplify right side
    229,401x = 245,720,472,804
  5. Step 5: Solve for x
    x = 245,720,472,804/229,401
  6. Step 6: Final answer
    x = 1,071,139.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.