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Finding the Third Proportional to 282,775.36 and 616,354.59

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Solution

The third proportional to 282,775.36 and 616,354.59 is: 1,343,444.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,775.36 : 616,354.59 = 616,354.59 : x
  2. Step 2: Convert to fraction form
    282,775.36/616,354.59 = 616,354.59/x
  3. Step 3: Cross multiply
    282,775.36x = 616,354.59 × 616,354.59
  4. Step 4: Simplify right side
    282,775.36x = 379,892,985,236.73
  5. Step 5: Solve for x
    x = 379,892,985,236.73/282,775.36
  6. Step 6: Final answer
    x = 1,343,444.44

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