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Finding the Third Proportional to 280,051.50 and 441,948

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Solution

The third proportional to 280,051.50 and 441,948 is: 697,436.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,051.50 : 441,948 = 441,948 : x
  2. Step 2: Convert to fraction form
    280,051.50/441,948 = 441,948/x
  3. Step 3: Cross multiply
    280,051.50x = 441,948 × 441,948
  4. Step 4: Simplify right side
    280,051.50x = 195,318,034,704
  5. Step 5: Solve for x
    x = 195,318,034,704/280,051.50
  6. Step 6: Final answer
    x = 697,436.13

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.