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Finding the Third Proportional to 346,536 and 744,642

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Solution

The third proportional to 346,536 and 744,642 is: 1,600,098.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,536 : 744,642 = 744,642 : x
  2. Step 2: Convert to fraction form
    346,536/744,642 = 744,642/x
  3. Step 3: Cross multiply
    346,536x = 744,642 × 744,642
  4. Step 4: Simplify right side
    346,536x = 554,491,708,164
  5. Step 5: Solve for x
    x = 554,491,708,164/346,536
  6. Step 6: Final answer
    x = 1,600,098.43

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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.