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Finding the Third Proportional to 225,895.50 and 470,504.25

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Solution

The third proportional to 225,895.50 and 470,504.25 is: 979,985.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,895.50 : 470,504.25 = 470,504.25 : x
  2. Step 2: Convert to fraction form
    225,895.50/470,504.25 = 470,504.25/x
  3. Step 3: Cross multiply
    225,895.50x = 470,504.25 × 470,504.25
  4. Step 4: Simplify right side
    225,895.50x = 221,374,249,268.06
  5. Step 5: Solve for x
    x = 221,374,249,268.06/225,895.50
  6. Step 6: Final answer
    x = 979,985.21

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.