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Finding the Third Proportional to 342,124 and 492,814

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Solution

The third proportional to 342,124 and 492,814 is: 709,876.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,124 : 492,814 = 492,814 : x
  2. Step 2: Convert to fraction form
    342,124/492,814 = 492,814/x
  3. Step 3: Cross multiply
    342,124x = 492,814 × 492,814
  4. Step 4: Simplify right side
    342,124x = 242,865,638,596
  5. Step 5: Solve for x
    x = 242,865,638,596/342,124
  6. Step 6: Final answer
    x = 709,876.06

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.