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Finding the Third Proportional to 359,696 and 756,400

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Solution

The third proportional to 359,696 and 756,400 is: 1,590,623.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,696 : 756,400 = 756,400 : x
  2. Step 2: Convert to fraction form
    359,696/756,400 = 756,400/x
  3. Step 3: Cross multiply
    359,696x = 756,400 × 756,400
  4. Step 4: Simplify right side
    359,696x = 572,140,960,000
  5. Step 5: Solve for x
    x = 572,140,960,000/359,696
  6. Step 6: Final answer
    x = 1,590,623.64

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