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Finding the Third Proportional to 343,536 and 528,336

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Solution

The third proportional to 343,536 and 528,336 is: 812,546.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,536 : 528,336 = 528,336 : x
  2. Step 2: Convert to fraction form
    343,536/528,336 = 528,336/x
  3. Step 3: Cross multiply
    343,536x = 528,336 × 528,336
  4. Step 4: Simplify right side
    343,536x = 279,138,928,896
  5. Step 5: Solve for x
    x = 279,138,928,896/343,536
  6. Step 6: Final answer
    x = 812,546.37

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.