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Finding the Third Proportional to 344,955 and 742,398

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Solution

The third proportional to 344,955 and 742,398 is: 1,597,758.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,955 : 742,398 = 742,398 : x
  2. Step 2: Convert to fraction form
    344,955/742,398 = 742,398/x
  3. Step 3: Cross multiply
    344,955x = 742,398 × 742,398
  4. Step 4: Simplify right side
    344,955x = 551,154,790,404
  5. Step 5: Solve for x
    x = 551,154,790,404/344,955
  6. Step 6: Final answer
    x = 1,597,758.52

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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.