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Finding the Third Proportional to 377,089.50 and 813,214.50

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Solution

The third proportional to 377,089.50 and 813,214.50 is: 1,753,742.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,089.50 : 813,214.50 = 813,214.50 : x
  2. Step 2: Convert to fraction form
    377,089.50/813,214.50 = 813,214.50/x
  3. Step 3: Cross multiply
    377,089.50x = 813,214.50 × 813,214.50
  4. Step 4: Simplify right side
    377,089.50x = 661,317,823,010.25
  5. Step 5: Solve for x
    x = 661,317,823,010.25/377,089.50
  6. Step 6: Final answer
    x = 1,753,742.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.