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Finding the Third Proportional to 262,518.75 and 572,551.88

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Solution

The third proportional to 262,518.75 and 572,551.88 is: 1,248,732.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,518.75 : 572,551.88 = 572,551.88 : x
  2. Step 2: Convert to fraction form
    262,518.75/572,551.88 = 572,551.88/x
  3. Step 3: Cross multiply
    262,518.75x = 572,551.88 × 572,551.88
  4. Step 4: Simplify right side
    262,518.75x = 327,815,649,566.02
  5. Step 5: Solve for x
    x = 327,815,649,566.02/262,518.75
  6. Step 6: Final answer
    x = 1,248,732.33

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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.