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Finding the Third Proportional to 249,339 and 373,911

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Solution

The third proportional to 249,339 and 373,911 is: 560,720.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,339 : 373,911 = 373,911 : x
  2. Step 2: Convert to fraction form
    249,339/373,911 = 373,911/x
  3. Step 3: Cross multiply
    249,339x = 373,911 × 373,911
  4. Step 4: Simplify right side
    249,339x = 139,809,435,921
  5. Step 5: Solve for x
    x = 139,809,435,921/249,339
  6. Step 6: Final answer
    x = 560,720.29

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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.