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Finding the Third Proportional to 359,910 and 772,186.50

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Solution

The third proportional to 359,910 and 772,186.50 is: 1,656,725.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,910 : 772,186.50 = 772,186.50 : x
  2. Step 2: Convert to fraction form
    359,910/772,186.50 = 772,186.50/x
  3. Step 3: Cross multiply
    359,910x = 772,186.50 × 772,186.50
  4. Step 4: Simplify right side
    359,910x = 596,271,990,782.25
  5. Step 5: Solve for x
    x = 596,271,990,782.25/359,910
  6. Step 6: Final answer
    x = 1,656,725.27

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.