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Finding the Third Proportional to 284,058 and 618,964

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Solution

The third proportional to 284,058 and 618,964 is: 1,348,726.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,058 : 618,964 = 618,964 : x
  2. Step 2: Convert to fraction form
    284,058/618,964 = 618,964/x
  3. Step 3: Cross multiply
    284,058x = 618,964 × 618,964
  4. Step 4: Simplify right side
    284,058x = 383,116,433,296
  5. Step 5: Solve for x
    x = 383,116,433,296/284,058
  6. Step 6: Final answer
    x = 1,348,726.08

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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.