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Finding the Third Proportional to 249,343 and 373,917

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Solution

The third proportional to 249,343 and 373,917 is: 560,729.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,343 : 373,917 = 373,917 : x
  2. Step 2: Convert to fraction form
    249,343/373,917 = 373,917/x
  3. Step 3: Cross multiply
    249,343x = 373,917 × 373,917
  4. Step 4: Simplify right side
    249,343x = 139,813,922,889
  5. Step 5: Solve for x
    x = 139,813,922,889/249,343
  6. Step 6: Final answer
    x = 560,729.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.