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Finding the Third Proportional to 524,652.19 and 802,203.75

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Solution

The third proportional to 524,652.19 and 802,203.75 is: 1,226,585.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,652.19 : 802,203.75 = 802,203.75 : x
  2. Step 2: Convert to fraction form
    524,652.19/802,203.75 = 802,203.75/x
  3. Step 3: Cross multiply
    524,652.19x = 802,203.75 × 802,203.75
  4. Step 4: Simplify right side
    524,652.19x = 643,530,856,514.06
  5. Step 5: Solve for x
    x = 643,530,856,514.06/524,652.19
  6. Step 6: Final answer
    x = 1,226,585.67

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.