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Finding the Third Proportional to 497,124 and 702,756

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Solution

The third proportional to 497,124 and 702,756 is: 993,446.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,124 : 702,756 = 702,756 : x
  2. Step 2: Convert to fraction form
    497,124/702,756 = 702,756/x
  3. Step 3: Cross multiply
    497,124x = 702,756 × 702,756
  4. Step 4: Simplify right side
    497,124x = 493,865,995,536
  5. Step 5: Solve for x
    x = 493,865,995,536/497,124
  6. Step 6: Final answer
    x = 993,446.29

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Why These Related Problems?

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