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Finding the Third Proportional to 237,969 and 499,284

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Solution

The third proportional to 237,969 and 499,284 is: 1,047,550.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,969 : 499,284 = 499,284 : x
  2. Step 2: Convert to fraction form
    237,969/499,284 = 499,284/x
  3. Step 3: Cross multiply
    237,969x = 499,284 × 499,284
  4. Step 4: Simplify right side
    237,969x = 249,284,512,656
  5. Step 5: Solve for x
    x = 249,284,512,656/237,969
  6. Step 6: Final answer
    x = 1,047,550.36

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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.