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Finding the Third Proportional to 208,088 and 454,702

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Solution

The third proportional to 208,088 and 454,702 is: 993,588.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,088 : 454,702 = 454,702 : x
  2. Step 2: Convert to fraction form
    208,088/454,702 = 454,702/x
  3. Step 3: Cross multiply
    208,088x = 454,702 × 454,702
  4. Step 4: Simplify right side
    208,088x = 206,753,908,804
  5. Step 5: Solve for x
    x = 206,753,908,804/208,088
  6. Step 6: Final answer
    x = 993,588.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.