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Finding the Third Proportional to 262,570.50 and 572,664.38

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Solution

The third proportional to 262,570.50 and 572,664.38 is: 1,248,976.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,570.50 : 572,664.38 = 572,664.38 : x
  2. Step 2: Convert to fraction form
    262,570.50/572,664.38 = 572,664.38/x
  3. Step 3: Cross multiply
    262,570.50x = 572,664.38 × 572,664.38
  4. Step 4: Simplify right side
    262,570.50x = 327,944,486,394.14
  5. Step 5: Solve for x
    x = 327,944,486,394.14/262,570.50
  6. Step 6: Final answer
    x = 1,248,976.89

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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.