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Finding the Third Proportional to 243,005 and 530,228

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Solution

The third proportional to 243,005 and 530,228 is: 1,156,938.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,005 : 530,228 = 530,228 : x
  2. Step 2: Convert to fraction form
    243,005/530,228 = 530,228/x
  3. Step 3: Cross multiply
    243,005x = 530,228 × 530,228
  4. Step 4: Simplify right side
    243,005x = 281,141,731,984
  5. Step 5: Solve for x
    x = 281,141,731,984/243,005
  6. Step 6: Final answer
    x = 1,156,938.05

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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.