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Finding the Third Proportional to 224,465 and 498,755

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Solution

The third proportional to 224,465 and 498,755 is: 1,108,219.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,465 : 498,755 = 498,755 : x
  2. Step 2: Convert to fraction form
    224,465/498,755 = 498,755/x
  3. Step 3: Cross multiply
    224,465x = 498,755 × 498,755
  4. Step 4: Simplify right side
    224,465x = 248,756,550,025
  5. Step 5: Solve for x
    x = 248,756,550,025/224,465
  6. Step 6: Final answer
    x = 1,108,219.77

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.