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Finding the Third Proportional to 236,565 and 510,650

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Solution

The third proportional to 236,565 and 510,650 is: 1,102,290.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,565 : 510,650 = 510,650 : x
  2. Step 2: Convert to fraction form
    236,565/510,650 = 510,650/x
  3. Step 3: Cross multiply
    236,565x = 510,650 × 510,650
  4. Step 4: Simplify right side
    236,565x = 260,763,422,500
  5. Step 5: Solve for x
    x = 260,763,422,500/236,565
  6. Step 6: Final answer
    x = 1,102,290.80

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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.