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Finding the Third Proportional to 350,844 and 738,363

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Solution

The third proportional to 350,844 and 738,363 is: 1,553,909.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,844 : 738,363 = 738,363 : x
  2. Step 2: Convert to fraction form
    350,844/738,363 = 738,363/x
  3. Step 3: Cross multiply
    350,844x = 738,363 × 738,363
  4. Step 4: Simplify right side
    350,844x = 545,179,919,769
  5. Step 5: Solve for x
    x = 545,179,919,769/350,844
  6. Step 6: Final answer
    x = 1,553,909.77

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.