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Finding the Third Proportional to 242,266 and 530,692

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Solution

The third proportional to 242,266 and 530,692 is: 1,162,499.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,266 : 530,692 = 530,692 : x
  2. Step 2: Convert to fraction form
    242,266/530,692 = 530,692/x
  3. Step 3: Cross multiply
    242,266x = 530,692 × 530,692
  4. Step 4: Simplify right side
    242,266x = 281,633,998,864
  5. Step 5: Solve for x
    x = 281,633,998,864/242,266
  6. Step 6: Final answer
    x = 1,162,499.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.