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Finding the Third Proportional to 225,823.50 and 490,646.25

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Solution

The third proportional to 225,823.50 and 490,646.25 is: 1,066,026.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,823.50 : 490,646.25 = 490,646.25 : x
  2. Step 2: Convert to fraction form
    225,823.50/490,646.25 = 490,646.25/x
  3. Step 3: Cross multiply
    225,823.50x = 490,646.25 × 490,646.25
  4. Step 4: Simplify right side
    225,823.50x = 240,733,742,639.06
  5. Step 5: Solve for x
    x = 240,733,742,639.06/225,823.50
  6. Step 6: Final answer
    x = 1,066,026.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.