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Finding the Third Proportional to 243,003 and 530,224

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Solution

The third proportional to 243,003 and 530,224 is: 1,156,930.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,003 : 530,224 = 530,224 : x
  2. Step 2: Convert to fraction form
    243,003/530,224 = 530,224/x
  3. Step 3: Cross multiply
    243,003x = 530,224 × 530,224
  4. Step 4: Simplify right side
    243,003x = 281,137,490,176
  5. Step 5: Solve for x
    x = 281,137,490,176/243,003
  6. Step 6: Final answer
    x = 1,156,930.12

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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.