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Finding the Third Proportional to 351,196 and 744,188

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Solution

The third proportional to 351,196 and 744,188 is: 1,576,942.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,196 : 744,188 = 744,188 : x
  2. Step 2: Convert to fraction form
    351,196/744,188 = 744,188/x
  3. Step 3: Cross multiply
    351,196x = 744,188 × 744,188
  4. Step 4: Simplify right side
    351,196x = 553,815,779,344
  5. Step 5: Solve for x
    x = 553,815,779,344/351,196
  6. Step 6: Final answer
    x = 1,576,942.16

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.