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Finding the Third Proportional to 273,682.13 and 435,818.81

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Solution

The third proportional to 273,682.13 and 435,818.81 is: 694,009.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,682.13 : 435,818.81 = 435,818.81 : x
  2. Step 2: Convert to fraction form
    273,682.13/435,818.81 = 435,818.81/x
  3. Step 3: Cross multiply
    273,682.13x = 435,818.81 × 435,818.81
  4. Step 4: Simplify right side
    273,682.13x = 189,938,037,328.91
  5. Step 5: Solve for x
    x = 189,938,037,328.91/273,682.13
  6. Step 6: Final answer
    x = 694,009.66

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.