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Finding the Third Proportional to 282,948.50 and 441,645

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Solution

The third proportional to 282,948.50 and 441,645 is: 689,349.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,948.50 : 441,645 = 441,645 : x
  2. Step 2: Convert to fraction form
    282,948.50/441,645 = 441,645/x
  3. Step 3: Cross multiply
    282,948.50x = 441,645 × 441,645
  4. Step 4: Simplify right side
    282,948.50x = 195,050,306,025
  5. Step 5: Solve for x
    x = 195,050,306,025/282,948.50
  6. Step 6: Final answer
    x = 689,349.14

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.