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Finding the Third Proportional to 208,585.13 and 455,237.72

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Solution

The third proportional to 208,585.13 and 455,237.72 is: 993,557.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,585.13 : 455,237.72 = 455,237.72 : x
  2. Step 2: Convert to fraction form
    208,585.13/455,237.72 = 455,237.72/x
  3. Step 3: Cross multiply
    208,585.13x = 455,237.72 × 455,237.72
  4. Step 4: Simplify right side
    208,585.13x = 207,241,380,572.70
  5. Step 5: Solve for x
    x = 207,241,380,572.70/208,585.13
  6. Step 6: Final answer
    x = 993,557.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.