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Finding the Third Proportional to 225,498 and 486,241.50

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Solution

The third proportional to 225,498 and 486,241.50 is: 1,048,482.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,498 : 486,241.50 = 486,241.50 : x
  2. Step 2: Convert to fraction form
    225,498/486,241.50 = 486,241.50/x
  3. Step 3: Cross multiply
    225,498x = 486,241.50 × 486,241.50
  4. Step 4: Simplify right side
    225,498x = 236,430,796,322.25
  5. Step 5: Solve for x
    x = 236,430,796,322.25/225,498
  6. Step 6: Final answer
    x = 1,048,482.90

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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.