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Finding the Third Proportional to 284,015 and 415,037

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Solution

The third proportional to 284,015 and 415,037 is: 606,502.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,015 : 415,037 = 415,037 : x
  2. Step 2: Convert to fraction form
    284,015/415,037 = 415,037/x
  3. Step 3: Cross multiply
    284,015x = 415,037 × 415,037
  4. Step 4: Simplify right side
    284,015x = 172,255,711,369
  5. Step 5: Solve for x
    x = 172,255,711,369/284,015
  6. Step 6: Final answer
    x = 606,502.16

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.