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Finding the Third Proportional to 282,779.50 and 614,645

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Solution

The third proportional to 282,779.50 and 614,645 is: 1,335,982.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,779.50 : 614,645 = 614,645 : x
  2. Step 2: Convert to fraction form
    282,779.50/614,645 = 614,645/x
  3. Step 3: Cross multiply
    282,779.50x = 614,645 × 614,645
  4. Step 4: Simplify right side
    282,779.50x = 377,788,476,025
  5. Step 5: Solve for x
    x = 377,788,476,025/282,779.50
  6. Step 6: Final answer
    x = 1,335,982.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.