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Finding the Third Proportional to 273,465 and 419,773.50

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Solution

The third proportional to 273,465 and 419,773.50 is: 644,359.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,465 : 419,773.50 = 419,773.50 : x
  2. Step 2: Convert to fraction form
    273,465/419,773.50 = 419,773.50/x
  3. Step 3: Cross multiply
    273,465x = 419,773.50 × 419,773.50
  4. Step 4: Simplify right side
    273,465x = 176,209,791,302.25
  5. Step 5: Solve for x
    x = 176,209,791,302.25/273,465
  6. Step 6: Final answer
    x = 644,359.58

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.