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Finding the Third Proportional to 262,519.50 and 572,553

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Solution

The third proportional to 262,519.50 and 572,553 is: 1,248,733.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,519.50 : 572,553 = 572,553 : x
  2. Step 2: Convert to fraction form
    262,519.50/572,553 = 572,553/x
  3. Step 3: Cross multiply
    262,519.50x = 572,553 × 572,553
  4. Step 4: Simplify right side
    262,519.50x = 327,816,937,809
  5. Step 5: Solve for x
    x = 327,816,937,809/262,519.50
  6. Step 6: Final answer
    x = 1,248,733.67

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.