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Finding the Third Proportional to 294,202 and 454,605

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Solution

The third proportional to 294,202 and 454,605 is: 702,461.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,202 : 454,605 = 454,605 : x
  2. Step 2: Convert to fraction form
    294,202/454,605 = 454,605/x
  3. Step 3: Cross multiply
    294,202x = 454,605 × 454,605
  4. Step 4: Simplify right side
    294,202x = 206,665,706,025
  5. Step 5: Solve for x
    x = 206,665,706,025/294,202
  6. Step 6: Final answer
    x = 702,461.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.