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Finding the Third Proportional to 284,017 and 415,040

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Solution

The third proportional to 284,017 and 415,040 is: 606,506.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,017 : 415,040 = 415,040 : x
  2. Step 2: Convert to fraction form
    284,017/415,040 = 415,040/x
  3. Step 3: Cross multiply
    284,017x = 415,040 × 415,040
  4. Step 4: Simplify right side
    284,017x = 172,258,201,600
  5. Step 5: Solve for x
    x = 172,258,201,600/284,017
  6. Step 6: Final answer
    x = 606,506.66

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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.