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Finding the Third Proportional to 346,408 and 744,385

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Solution

The third proportional to 346,408 and 744,385 is: 1,599,584.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,408 : 744,385 = 744,385 : x
  2. Step 2: Convert to fraction form
    346,408/744,385 = 744,385/x
  3. Step 3: Cross multiply
    346,408x = 744,385 × 744,385
  4. Step 4: Simplify right side
    346,408x = 554,109,028,225
  5. Step 5: Solve for x
    x = 554,109,028,225/346,408
  6. Step 6: Final answer
    x = 1,599,584.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.