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Finding the Third Proportional to 334,296 and 705,492

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Solution

The third proportional to 334,296 and 705,492 is: 1,488,857.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,296 : 705,492 = 705,492 : x
  2. Step 2: Convert to fraction form
    334,296/705,492 = 705,492/x
  3. Step 3: Cross multiply
    334,296x = 705,492 × 705,492
  4. Step 4: Simplify right side
    334,296x = 497,718,962,064
  5. Step 5: Solve for x
    x = 497,718,962,064/334,296
  6. Step 6: Final answer
    x = 1,488,857.07

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.