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Finding the Third Proportional to 344,963 and 742,387

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Solution

The third proportional to 344,963 and 742,387 is: 1,597,674.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,963 : 742,387 = 742,387 : x
  2. Step 2: Convert to fraction form
    344,963/742,387 = 742,387/x
  3. Step 3: Cross multiply
    344,963x = 742,387 × 742,387
  4. Step 4: Simplify right side
    344,963x = 551,138,457,769
  5. Step 5: Solve for x
    x = 551,138,457,769/344,963
  6. Step 6: Final answer
    x = 1,597,674.12

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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.