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Finding the Third Proportional to 265,297.50 and 572,610

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Solution

The third proportional to 265,297.50 and 572,610 is: 1,235,903.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,297.50 : 572,610 = 572,610 : x
  2. Step 2: Convert to fraction form
    265,297.50/572,610 = 572,610/x
  3. Step 3: Cross multiply
    265,297.50x = 572,610 × 572,610
  4. Step 4: Simplify right side
    265,297.50x = 327,882,212,100
  5. Step 5: Solve for x
    x = 327,882,212,100/265,297.50
  6. Step 6: Final answer
    x = 1,235,903.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.