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Finding the Third Proportional to 343,256 and 531,492

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Solution

The third proportional to 343,256 and 531,492 is: 822,953.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,256 : 531,492 = 531,492 : x
  2. Step 2: Convert to fraction form
    343,256/531,492 = 531,492/x
  3. Step 3: Cross multiply
    343,256x = 531,492 × 531,492
  4. Step 4: Simplify right side
    343,256x = 282,483,746,064
  5. Step 5: Solve for x
    x = 282,483,746,064/343,256
  6. Step 6: Final answer
    x = 822,953.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.