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Finding the Third Proportional to 344,943 and 742,347

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Solution

The third proportional to 344,943 and 742,347 is: 1,597,594.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,943 : 742,347 = 742,347 : x
  2. Step 2: Convert to fraction form
    344,943/742,347 = 742,347/x
  3. Step 3: Cross multiply
    344,943x = 742,347 × 742,347
  4. Step 4: Simplify right side
    344,943x = 551,079,068,409
  5. Step 5: Solve for x
    x = 551,079,068,409/344,943
  6. Step 6: Final answer
    x = 1,597,594.58

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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.