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Finding the Third Proportional to 345,042 and 750,834

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Solution

The third proportional to 345,042 and 750,834 is: 1,633,863.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,042 : 750,834 = 750,834 : x
  2. Step 2: Convert to fraction form
    345,042/750,834 = 750,834/x
  3. Step 3: Cross multiply
    345,042x = 750,834 × 750,834
  4. Step 4: Simplify right side
    345,042x = 563,751,695,556
  5. Step 5: Solve for x
    x = 563,751,695,556/345,042
  6. Step 6: Final answer
    x = 1,633,863.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.