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Finding the Third Proportional to 344,481 and 738,789

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Solution

The third proportional to 344,481 and 738,789 is: 1,584,439.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,481 : 738,789 = 738,789 : x
  2. Step 2: Convert to fraction form
    344,481/738,789 = 738,789/x
  3. Step 3: Cross multiply
    344,481x = 738,789 × 738,789
  4. Step 4: Simplify right side
    344,481x = 545,809,186,521
  5. Step 5: Solve for x
    x = 545,809,186,521/344,481
  6. Step 6: Final answer
    x = 1,584,439.16

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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.