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Finding the Third Proportional to 249,217 and 376,799

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Solution

The third proportional to 249,217 and 376,799 is: 569,694.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,217 : 376,799 = 376,799 : x
  2. Step 2: Convert to fraction form
    249,217/376,799 = 376,799/x
  3. Step 3: Cross multiply
    249,217x = 376,799 × 376,799
  4. Step 4: Simplify right side
    249,217x = 141,977,486,401
  5. Step 5: Solve for x
    x = 141,977,486,401/249,217
  6. Step 6: Final answer
    x = 569,694.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.