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Finding the Third Proportional to 358,744 and 754,668

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Solution

The third proportional to 358,744 and 754,668 is: 1,587,549.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,744 : 754,668 = 754,668 : x
  2. Step 2: Convert to fraction form
    358,744/754,668 = 754,668/x
  3. Step 3: Cross multiply
    358,744x = 754,668 × 754,668
  4. Step 4: Simplify right side
    358,744x = 569,523,790,224
  5. Step 5: Solve for x
    x = 569,523,790,224/358,744
  6. Step 6: Final answer
    x = 1,587,549.31

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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.