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Finding the Third Proportional to 344,306 and 738,418

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Solution

The third proportional to 344,306 and 738,418 is: 1,583,652.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,306 : 738,418 = 738,418 : x
  2. Step 2: Convert to fraction form
    344,306/738,418 = 738,418/x
  3. Step 3: Cross multiply
    344,306x = 738,418 × 738,418
  4. Step 4: Simplify right side
    344,306x = 545,261,142,724
  5. Step 5: Solve for x
    x = 545,261,142,724/344,306
  6. Step 6: Final answer
    x = 1,583,652.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.