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Finding the Third Proportional to 209,615.06 and 452,714.06

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Solution

The third proportional to 209,615.06 and 452,714.06 is: 977,744.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,615.06 : 452,714.06 = 452,714.06 : x
  2. Step 2: Convert to fraction form
    209,615.06/452,714.06 = 452,714.06/x
  3. Step 3: Cross multiply
    209,615.06x = 452,714.06 × 452,714.06
  4. Step 4: Simplify right side
    209,615.06x = 204,950,022,385.25
  5. Step 5: Solve for x
    x = 204,950,022,385.25/209,615.06
  6. Step 6: Final answer
    x = 977,744.73

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