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Finding the Third Proportional to 279,516 and 603,294

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Solution

The third proportional to 279,516 and 603,294 is: 1,302,120.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,516 : 603,294 = 603,294 : x
  2. Step 2: Convert to fraction form
    279,516/603,294 = 603,294/x
  3. Step 3: Cross multiply
    279,516x = 603,294 × 603,294
  4. Step 4: Simplify right side
    279,516x = 363,963,650,436
  5. Step 5: Solve for x
    x = 363,963,650,436/279,516
  6. Step 6: Final answer
    x = 1,302,120.99

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.