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Finding the Third Proportional to 375,708.38 and 832,442.06

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Solution

The third proportional to 375,708.38 and 832,442.06 is: 1,844,408.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,708.38 : 832,442.06 = 832,442.06 : x
  2. Step 2: Convert to fraction form
    375,708.38/832,442.06 = 832,442.06/x
  3. Step 3: Cross multiply
    375,708.38x = 832,442.06 × 832,442.06
  4. Step 4: Simplify right side
    375,708.38x = 692,959,787,419.25
  5. Step 5: Solve for x
    x = 692,959,787,419.25/375,708.38
  6. Step 6: Final answer
    x = 1,844,408.68

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.