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Finding the Third Proportional to 350,382 and 768,588

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Solution

The third proportional to 350,382 and 768,588 is: 1,685,952.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,382 : 768,588 = 768,588 : x
  2. Step 2: Convert to fraction form
    350,382/768,588 = 768,588/x
  3. Step 3: Cross multiply
    350,382x = 768,588 × 768,588
  4. Step 4: Simplify right side
    350,382x = 590,727,513,744
  5. Step 5: Solve for x
    x = 590,727,513,744/350,382
  6. Step 6: Final answer
    x = 1,685,952.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.