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Finding the Third Proportional to 265,299.50 and 572,613

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Solution

The third proportional to 265,299.50 and 572,613 is: 1,235,907.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,299.50 : 572,613 = 572,613 : x
  2. Step 2: Convert to fraction form
    265,299.50/572,613 = 572,613/x
  3. Step 3: Cross multiply
    265,299.50x = 572,613 × 572,613
  4. Step 4: Simplify right side
    265,299.50x = 327,885,647,769
  5. Step 5: Solve for x
    x = 327,885,647,769/265,299.50
  6. Step 6: Final answer
    x = 1,235,907.52

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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.