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Finding the Third Proportional to 334,264 and 705,752

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Solution

The third proportional to 334,264 and 705,752 is: 1,490,097.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,264 : 705,752 = 705,752 : x
  2. Step 2: Convert to fraction form
    334,264/705,752 = 705,752/x
  3. Step 3: Cross multiply
    334,264x = 705,752 × 705,752
  4. Step 4: Simplify right side
    334,264x = 498,085,885,504
  5. Step 5: Solve for x
    x = 498,085,885,504/334,264
  6. Step 6: Final answer
    x = 1,490,097.30

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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.