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Finding the Third Proportional to 258,241.50 and 562,210.88

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Solution

The third proportional to 258,241.50 and 562,210.88 is: 1,223,974.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,241.50 : 562,210.88 = 562,210.88 : x
  2. Step 2: Convert to fraction form
    258,241.50/562,210.88 = 562,210.88/x
  3. Step 3: Cross multiply
    258,241.50x = 562,210.88 × 562,210.88
  4. Step 4: Simplify right side
    258,241.50x = 316,081,067,968.27
  5. Step 5: Solve for x
    x = 316,081,067,968.27/258,241.50
  6. Step 6: Final answer
    x = 1,223,974.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.