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Finding the Third Proportional to 231,737.63 and 488,386.13

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Solution

The third proportional to 231,737.63 and 488,386.13 is: 1,029,271.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,737.63 : 488,386.13 = 488,386.13 : x
  2. Step 2: Convert to fraction form
    231,737.63/488,386.13 = 488,386.13/x
  3. Step 3: Cross multiply
    231,737.63x = 488,386.13 × 488,386.13
  4. Step 4: Simplify right side
    231,737.63x = 238,521,007,092.52
  5. Step 5: Solve for x
    x = 238,521,007,092.52/231,737.63
  6. Step 6: Final answer
    x = 1,029,271.82

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.