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Finding the Third Proportional to 237,870 and 499,088

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Solution

The third proportional to 237,870 and 499,088 is: 1,047,163.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,870 : 499,088 = 499,088 : x
  2. Step 2: Convert to fraction form
    237,870/499,088 = 499,088/x
  3. Step 3: Cross multiply
    237,870x = 499,088 × 499,088
  4. Step 4: Simplify right side
    237,870x = 249,088,831,744
  5. Step 5: Solve for x
    x = 249,088,831,744/237,870
  6. Step 6: Final answer
    x = 1,047,163.71

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.