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Finding the Third Proportional to 229,784.25 and 486,064.50

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Solution

The third proportional to 229,784.25 and 486,064.50 is: 1,028,176.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,784.25 : 486,064.50 = 486,064.50 : x
  2. Step 2: Convert to fraction form
    229,784.25/486,064.50 = 486,064.50/x
  3. Step 3: Cross multiply
    229,784.25x = 486,064.50 × 486,064.50
  4. Step 4: Simplify right side
    229,784.25x = 236,258,698,160.25
  5. Step 5: Solve for x
    x = 236,258,698,160.25/229,784.25
  6. Step 6: Final answer
    x = 1,028,176.21

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.