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Finding the Third Proportional to 236,388 and 510,666

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Solution

The third proportional to 236,388 and 510,666 is: 1,103,185.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,388 : 510,666 = 510,666 : x
  2. Step 2: Convert to fraction form
    236,388/510,666 = 510,666/x
  3. Step 3: Cross multiply
    236,388x = 510,666 × 510,666
  4. Step 4: Simplify right side
    236,388x = 260,779,763,556
  5. Step 5: Solve for x
    x = 260,779,763,556/236,388
  6. Step 6: Final answer
    x = 1,103,185.29

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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.