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Finding the Third Proportional to 344,502 and 738,828

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Solution

The third proportional to 344,502 and 738,828 is: 1,584,509.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,502 : 738,828 = 738,828 : x
  2. Step 2: Convert to fraction form
    344,502/738,828 = 738,828/x
  3. Step 3: Cross multiply
    344,502x = 738,828 × 738,828
  4. Step 4: Simplify right side
    344,502x = 545,866,813,584
  5. Step 5: Solve for x
    x = 545,866,813,584/344,502
  6. Step 6: Final answer
    x = 1,584,509.85

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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.