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Finding the Third Proportional to 213,319.13 and 456,998.63

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Solution

The third proportional to 213,319.13 and 456,998.63 is: 979,039.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,319.13 : 456,998.63 = 456,998.63 : x
  2. Step 2: Convert to fraction form
    213,319.13/456,998.63 = 456,998.63/x
  3. Step 3: Cross multiply
    213,319.13x = 456,998.63 × 456,998.63
  4. Step 4: Simplify right side
    213,319.13x = 208,847,743,251.89
  5. Step 5: Solve for x
    x = 208,847,743,251.89/213,319.13
  6. Step 6: Final answer
    x = 979,039.00

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.