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Finding the Third Proportional to 249,676 and 353,284

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Solution

The third proportional to 249,676 and 353,284 is: 499,886.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,676 : 353,284 = 353,284 : x
  2. Step 2: Convert to fraction form
    249,676/353,284 = 353,284/x
  3. Step 3: Cross multiply
    249,676x = 353,284 × 353,284
  4. Step 4: Simplify right side
    249,676x = 124,809,584,656
  5. Step 5: Solve for x
    x = 124,809,584,656/249,676
  6. Step 6: Final answer
    x = 499,886.19

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.