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Finding the Third Proportional to 286,800.75 and 455,511.38

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Solution

The third proportional to 286,800.75 and 455,511.38 is: 723,466.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,800.75 : 455,511.38 = 455,511.38 : x
  2. Step 2: Convert to fraction form
    286,800.75/455,511.38 = 455,511.38/x
  3. Step 3: Cross multiply
    286,800.75x = 455,511.38 × 455,511.38
  4. Step 4: Simplify right side
    286,800.75x = 207,490,612,754.39
  5. Step 5: Solve for x
    x = 207,490,612,754.39/286,800.75
  6. Step 6: Final answer
    x = 723,466.07

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.