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Finding the Third Proportional to 285,695 and 595,037

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Solution

The third proportional to 285,695 and 595,037 is: 1,239,325.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,695 : 595,037 = 595,037 : x
  2. Step 2: Convert to fraction form
    285,695/595,037 = 595,037/x
  3. Step 3: Cross multiply
    285,695x = 595,037 × 595,037
  4. Step 4: Simplify right side
    285,695x = 354,069,031,369
  5. Step 5: Solve for x
    x = 354,069,031,369/285,695
  6. Step 6: Final answer
    x = 1,239,325.26

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.