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Finding the Third Proportional to 336,360 and 521,352

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Solution

The third proportional to 336,360 and 521,352 is: 808,086.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,360 : 521,352 = 521,352 : x
  2. Step 2: Convert to fraction form
    336,360/521,352 = 521,352/x
  3. Step 3: Cross multiply
    336,360x = 521,352 × 521,352
  4. Step 4: Simplify right side
    336,360x = 271,807,907,904
  5. Step 5: Solve for x
    x = 271,807,907,904/336,360
  6. Step 6: Final answer
    x = 808,086.30

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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.