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Finding the Third Proportional to 243,086 and 530,032

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Solution

The third proportional to 243,086 and 530,032 is: 1,155,697.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,086 : 530,032 = 530,032 : x
  2. Step 2: Convert to fraction form
    243,086/530,032 = 530,032/x
  3. Step 3: Cross multiply
    243,086x = 530,032 × 530,032
  4. Step 4: Simplify right side
    243,086x = 280,933,921,024
  5. Step 5: Solve for x
    x = 280,933,921,024/243,086
  6. Step 6: Final answer
    x = 1,155,697.66

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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.