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Finding the Third Proportional to 332,893 and 471,037

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Solution

The third proportional to 332,893 and 471,037 is: 666,508.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,893 : 471,037 = 471,037 : x
  2. Step 2: Convert to fraction form
    332,893/471,037 = 471,037/x
  3. Step 3: Cross multiply
    332,893x = 471,037 × 471,037
  4. Step 4: Simplify right side
    332,893x = 221,875,855,369
  5. Step 5: Solve for x
    x = 221,875,855,369/332,893
  6. Step 6: Final answer
    x = 666,508.02

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.