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Finding the Third Proportional to 262,522.50 and 572,559

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Solution

The third proportional to 262,522.50 and 572,559 is: 1,248,745.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,522.50 : 572,559 = 572,559 : x
  2. Step 2: Convert to fraction form
    262,522.50/572,559 = 572,559/x
  3. Step 3: Cross multiply
    262,522.50x = 572,559 × 572,559
  4. Step 4: Simplify right side
    262,522.50x = 327,823,808,481
  5. Step 5: Solve for x
    x = 327,823,808,481/262,522.50
  6. Step 6: Final answer
    x = 1,248,745.57

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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.