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Finding the Third Proportional to 360,209.25 and 521,714.25

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Solution

The third proportional to 360,209.25 and 521,714.25 is: 755,632.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,209.25 : 521,714.25 = 521,714.25 : x
  2. Step 2: Convert to fraction form
    360,209.25/521,714.25 = 521,714.25/x
  3. Step 3: Cross multiply
    360,209.25x = 521,714.25 × 521,714.25
  4. Step 4: Simplify right side
    360,209.25x = 272,185,758,653.06
  5. Step 5: Solve for x
    x = 272,185,758,653.06/360,209.25
  6. Step 6: Final answer
    x = 755,632.34

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.