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Finding the Third Proportional to 420,697.50 and 900,504

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Solution

The third proportional to 420,697.50 and 900,504 is: 1,927,530.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,697.50 : 900,504 = 900,504 : x
  2. Step 2: Convert to fraction form
    420,697.50/900,504 = 900,504/x
  3. Step 3: Cross multiply
    420,697.50x = 900,504 × 900,504
  4. Step 4: Simplify right side
    420,697.50x = 810,907,454,016
  5. Step 5: Solve for x
    x = 810,907,454,016/420,697.50
  6. Step 6: Final answer
    x = 1,927,530.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.