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Finding the Third Proportional to 236,384 and 510,658

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Solution

The third proportional to 236,384 and 510,658 is: 1,103,169.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,384 : 510,658 = 510,658 : x
  2. Step 2: Convert to fraction form
    236,384/510,658 = 510,658/x
  3. Step 3: Cross multiply
    236,384x = 510,658 × 510,658
  4. Step 4: Simplify right side
    236,384x = 260,771,592,964
  5. Step 5: Solve for x
    x = 260,771,592,964/236,384
  6. Step 6: Final answer
    x = 1,103,169.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.