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Finding the Third Proportional to 359,158.75 and 785,628.25

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Solution

The third proportional to 359,158.75 and 785,628.25 is: 1,718,492.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,158.75 : 785,628.25 = 785,628.25 : x
  2. Step 2: Convert to fraction form
    359,158.75/785,628.25 = 785,628.25/x
  3. Step 3: Cross multiply
    359,158.75x = 785,628.25 × 785,628.25
  4. Step 4: Simplify right side
    359,158.75x = 617,211,747,198.06
  5. Step 5: Solve for x
    x = 617,211,747,198.06/359,158.75
  6. Step 6: Final answer
    x = 1,718,492.86

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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.