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Finding the Third Proportional to 224,515.13 and 459,518.06

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Solution

The third proportional to 224,515.13 and 459,518.06 is: 940,501.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,515.13 : 459,518.06 = 459,518.06 : x
  2. Step 2: Convert to fraction form
    224,515.13/459,518.06 = 459,518.06/x
  3. Step 3: Cross multiply
    224,515.13x = 459,518.06 × 459,518.06
  4. Step 4: Simplify right side
    224,515.13x = 211,156,849,763.75
  5. Step 5: Solve for x
    x = 211,156,849,763.75/224,515.13
  6. Step 6: Final answer
    x = 940,501.67

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.