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Finding the Third Proportional to 213,688.13 and 499,218.19

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Solution

The third proportional to 213,688.13 and 499,218.19 is: 1,166,273.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,688.13 : 499,218.19 = 499,218.19 : x
  2. Step 2: Convert to fraction form
    213,688.13/499,218.19 = 499,218.19/x
  3. Step 3: Cross multiply
    213,688.13x = 499,218.19 × 499,218.19
  4. Step 4: Simplify right side
    213,688.13x = 249,218,798,730.79
  5. Step 5: Solve for x
    x = 249,218,798,730.79/213,688.13
  6. Step 6: Final answer
    x = 1,166,273.51

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.